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Basic Geometry : How to find the length of the side of a rectangle

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Example Questions

Example Question #11 : How To Find The Length Of The Side Of A Rectangle

If the perimeter of a rectangle is $\displaystyle 20$ , and the length of the rectangle is $\displaystyle 9$ , what is the width of the rectangle?

Possible Answers:

$\displaystyle 11$

$\displaystyle 1$

$\displaystyle 2$

$\displaystyle 5$

Correct answer:

$\displaystyle 1$

Explanation:

Recall how to find the perimeter of a rectangle.

$\text{Perimeter}=2(\text{length}+\text{width})$ $\displaystyle \text{Perimeter}=2(\text{length}+\text{width})$

We can then manipulate this equation to find the width.

$\text{length}+\text{width}=\frac{\text{Perimeter}}{2}$ $\displaystyle \text{length}+\text{width}=\frac{\text{Perimeter}}{2}$

$\text{width}=\frac{\text{Perimeter}}{2}-\text{length}$ $\displaystyle \text{width}=\frac{\text{Perimeter}}{2}-\text{length}$

Now, plug in the information given by the question to find the width.

$\text{width}=\frac{20}{2}-9=10-9=1$ $\displaystyle \text{width}=\frac{20}{2}-9=10-9=1$

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Example Question #11 : How To Find The Length Of The Side Of A Rectangle

If the perimeter of the rectangle is $\displaystyle 54$ , and the length of the rectangle is $\displaystyle 12$ , what is the width of the rectangle?

Possible Answers:

$\displaystyle 13$

$\displaystyle 17$

$\displaystyle 15$

$\displaystyle 14$

Correct answer:

$\displaystyle 15$

Explanation:

Recall how to find the perimeter of a rectangle.

$\text{Perimeter}=2(\text{length}+\text{width})$ $\displaystyle \text{Perimeter}=2(\text{length}+\text{width})$

We can then manipulate this equation to find the width.

$\text{length}+\text{width}=\frac{\text{Perimeter}}{2}$ $\displaystyle \text{length}+\text{width}=\frac{\text{Perimeter}}{2}$

$\text{width}=\frac{\text{Perimeter}}{2}-\text{length}$ $\displaystyle \text{width}=\frac{\text{Perimeter}}{2}-\text{length}$

Now, plug in the information given by the question to find the width.

$\text{width}=\frac{54}{2}-12=27-12=15$ $\displaystyle \text{width}=\frac{54}{2}-12=27-12=15$

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Example Question #13 : How To Find The Length Of The Side Of A Rectangle

If the perimeter of a rectangle is $\displaystyle 22$ , and the length of the rectangle is $\displaystyle 5$ , what is the width of the rectangle?

Possible Answers:

$\displaystyle 7$

$\displaystyle 5$

$\displaystyle 4$

$\displaystyle 6$

Correct answer:

$\displaystyle 6$

Explanation:

Recall how to find the perimeter of a rectangle.

$\text{Perimeter}=2(\text{length}+\text{width})$ $\displaystyle \text{Perimeter}=2(\text{length}+\text{width})$

We can then manipulate this equation to find the width.

$\text{length}+\text{width}=\frac{\text{Perimeter}}{2}$ $\displaystyle \text{length}+\text{width}=\frac{\text{Perimeter}}{2}$

$\text{width}=\frac{\text{Perimeter}}{2}-\text{length}$ $\displaystyle \text{width}=\frac{\text{Perimeter}}{2}-\text{length}$

Now, plug in the information given by the question to find the width.

$\text{width}=\frac{22}{2}-5=11-5=6$ $\displaystyle \text{width}=\frac{22}{2}-5=11-5=6$

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Example Question #12 : How To Find The Length Of The Side Of A Rectangle

If the perimeter of the rectangle is $\displaystyle 24$ , and the width of the rectangle is $\displaystyle 10$ , what is the length of the rectangle?

Possible Answers:

$\displaystyle 2$

$\displaystyle 3$

$\displaystyle 8$

$\displaystyle 14$

Correct answer:

$\displaystyle 2$

Explanation:

Recall how to find the perimeter of a rectangle.

$\text{Perimeter}=2(\text{length}+\text{width})$ $\displaystyle \text{Perimeter}=2(\text{length}+\text{width})$

We can then manipulate this equation to find the length.

$\text{length}+\text{width}=\frac{\text{Perimeter}}{2}$ $\displaystyle \text{length}+\text{width}=\frac{\text{Perimeter}}{2}$

$\text{length}=\frac{\text{Perimeter}}{2}-\text{width}$ $\displaystyle \text{length}=\frac{\text{Perimeter}}{2}-\text{width}$

Now, plug in the information given by the question to find the length.

$\text{length}=\frac{24}{2}-10=12-10=2$ $\displaystyle \text{length}=\frac{24}{2}-10=12-10=2$

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Example Question #15 : How To Find The Length Of The Side Of A Rectangle

If the perimeter of a rectangle is 200 $\displaystyle 200$ , and the width of the rectangle is $\displaystyle 54$ , what is the length of the rectangle?

Possible Answers:

$\displaystyle 58$

$\displaystyle 46$

$\displaystyle 61$

$\displaystyle 45$

Correct answer:

$\displaystyle 46$

Explanation:

Recall how to find the perimeter of a rectangle.

$\text{Perimeter}=2(\text{length}+\text{width})$ $\displaystyle \text{Perimeter}=2(\text{length}+\text{width})$

We can then manipulate this equation to find the length.

$\text{length}+\text{width}=\frac{\text{Perimeter}}{2}$ $\displaystyle \text{length}+\text{width}=\frac{\text{Perimeter}}{2}$

$\text{length}=\frac{\text{Perimeter}}{2}-\text{width}$ $\displaystyle \text{length}=\frac{\text{Perimeter}}{2}-\text{width}$

Now, plug in the information given by the question to find the length.

$\text{length}=\frac{200}{2}-54=100-54=46$ $\displaystyle \text{length}=\frac{200}{2}-54=100-54=46$

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Example Question #16 : How To Find The Length Of The Side Of A Rectangle

If the perimeter of the rectangle is $\displaystyle 56$ , and the width of the rectangle is $\displaystyle 12$ , what is the length of the rectangle?

Possible Answers:

$\displaystyle 18$

$\displaystyle 15$

$\displaystyle 16$

$\displaystyle 12$

Correct answer:

$\displaystyle 16$

Explanation:

Recall how to find the perimeter of a rectangle.

$\text{Perimeter}=2(\text{length}+\text{width})$ $\displaystyle \text{Perimeter}=2(\text{length}+\text{width})$

We can then manipulate this equation to find the length.

$\text{length}+\text{width}=\frac{\text{Perimeter}}{2}$ $\displaystyle \text{length}+\text{width}=\frac{\text{Perimeter}}{2}$

$\text{length}=\frac{\text{Perimeter}}{2}-\text{width}$ $\displaystyle \text{length}=\frac{\text{Perimeter}}{2}-\text{width}$

Now, plug in the information given by the question to find the length.

$\text{length}=\frac{56}{2}-12=28-12=16$ $\displaystyle \text{length}=\frac{56}{2}-12=28-12=16$

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Example Question #17 : How To Find The Length Of The Side Of A Rectangle

If the perimeter of a rectangle is $\displaystyle 64$ , and the width of the rectangle is $\displaystyle 17$ , what is the length of the rectangle?

Possible Answers:

$\displaystyle 17$

$\displaystyle 13$

$\displaystyle 15$

$\displaystyle 14$

Correct answer:

$\displaystyle 15$

Explanation:

Recall how to find the perimeter of a rectangle.

$\text{Perimeter}=2(\text{length}+\text{width})$ $\displaystyle \text{Perimeter}=2(\text{length}+\text{width})$

We can then manipulate this equation to find the length.

$\text{length}+\text{width}=\frac{\text{Perimeter}}{2}$ $\displaystyle \text{length}+\text{width}=\frac{\text{Perimeter}}{2}$

$\text{length}=\frac{\text{Perimeter}}{2}-\text{width}$ $\displaystyle \text{length}=\frac{\text{Perimeter}}{2}-\text{width}$

Now, plug in the information given by the question to find the length.

$\text{length}=\frac{64}{2}-17=32-17=15$ $\displaystyle \text{length}=\frac{64}{2}-17=32-17=15$

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Example Question #18 : How To Find The Length Of The Side Of A Rectangle

If the perimeter of a rectangle is $\displaystyle 66$ , and the width of the perimeter is $\displaystyle 15$ , what is the length of the rectangle?

Possible Answers:

$\displaystyle 16$

$\displaystyle 51$

$\displaystyle 18$

$\displaystyle 14$

Correct answer:

$\displaystyle 18$

Explanation:

Recall how to find the perimeter of a rectangle.

$\text{Perimeter}=2(\text{length}+\text{width})$ $\displaystyle \text{Perimeter}=2(\text{length}+\text{width})$

We can then manipulate this equation to find the length.

$\text{length}+\text{width}=\frac{\text{Perimeter}}{2}$ $\displaystyle \text{length}+\text{width}=\frac{\text{Perimeter}}{2}$

$\text{length}=\frac{\text{Perimeter}}{2}-\text{width}$ $\displaystyle \text{length}=\frac{\text{Perimeter}}{2}-\text{width}$

Now, plug in the information given by the question to find the length.

$\text{length}=\frac{66}{2}-15=33-15=18$ $\displaystyle \text{length}=\frac{66}{2}-15=33-15=18$

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Example Question #19 : How To Find The Length Of The Side Of A Rectangle

If the perimeter of a rectangle is $\displaystyle 96$ , and the width of the rectangle is $\displaystyle 46$ , what is the length of the rectangle?

Possible Answers:

$\displaystyle 2$

$\displaystyle 50$

$\displaystyle 8$

$\displaystyle 36$

Correct answer:

$\displaystyle 2$

Explanation:

Recall how to find the perimeter of a rectangle.

$\text{Perimeter}=2(\text{length}+\text{width})$ $\displaystyle \text{Perimeter}=2(\text{length}+\text{width})$

We can then manipulate this equation to find the length.

$\text{length}+\text{width}=\frac{\text{Perimeter}}{2}$ $\displaystyle \text{length}+\text{width}=\frac{\text{Perimeter}}{2}$

$\text{length}=\frac{\text{Perimeter}}{2}-\text{width}$ $\displaystyle \text{length}=\frac{\text{Perimeter}}{2}-\text{width}$

Now, plug in the information given by the question to find the length.

$\text{length}=\frac{96}{2}-46=48-46=2$ $\displaystyle \text{length}=\frac{96}{2}-46=48-46=2$

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Example Question #20 : How To Find The Length Of The Side Of A Rectangle

If the area of a rectangle is $\displaystyle 45$ , and the length of the rectangle is $\displaystyle 9$ , what is the width of the rectangle?

Possible Answers:

$\displaystyle 6$

$\displaystyle 7$

$\displaystyle 4$

$\displaystyle 5$

Correct answer:

$\displaystyle 5$

Explanation:

Recall how to find the area of a rectangle.

$\text{Area}=\text{length}\times\text{width}$ $\displaystyle \text{Area}=\text{length}\times\text{width}$

We can divide both sides by the length to find the width.

$\text{Width}=\frac{\text{Area}}{\text{length}}$ $\displaystyle \text{Width}=\frac{\text{Area}}{\text{length}}$

Now, plug in the information from the question.

$\text{Width}=\frac{45}{9}=5$ $\displaystyle \text{Width}=\frac{45}{9}=5$

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Basic Geometry : How to find the length of the side of a rectangle

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #11 : How To Find The Length Of The Side Of A Rectangle

Example Question #11 : How To Find The Length Of The Side Of A Rectangle

Example Question #13 : How To Find The Length Of The Side Of A Rectangle

Example Question #12 : How To Find The Length Of The Side Of A Rectangle

Example Question #15 : How To Find The Length Of The Side Of A Rectangle

Example Question #16 : How To Find The Length Of The Side Of A Rectangle

Example Question #17 : How To Find The Length Of The Side Of A Rectangle

Example Question #18 : How To Find The Length Of The Side Of A Rectangle

Example Question #19 : How To Find The Length Of The Side Of A Rectangle

Example Question #20 : How To Find The Length Of The Side Of A Rectangle

All Basic Geometry Resources

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