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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

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Example Questions

Example Question #21 : How To Find The Length Of The Side Of A Rectangle

If the area of a rectangle is 100 $\displaystyle 100$ , and the length of the rectangle is $\displaystyle 20$ , what is the width of the rectangle?

Possible Answers:

$\displaystyle 4$

$\displaystyle 9$

$\displaystyle 6$

$\displaystyle 5$

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.

$\text{Width}=\frac{100}{20}=5$ $\displaystyle \text{Width}=\frac{100}{20}=5$

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Example Question #493 : Plane Geometry

If the area of a rectangle is $\displaystyle 64$ , and the length of the rectangle is $\displaystyle 4$ , what is the width of the rectangle?

Possible Answers:

$\displaystyle 14$

$\displaystyle 18$

$\displaystyle 20$

$\displaystyle 16$

Correct answer:

$\displaystyle 16$

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.

$\text{Width}=\frac{64}{4}=16$ $\displaystyle \text{Width}=\frac{64}{4}=16$

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Example Question #494 : Plane Geometry

If the area of a rectangle is $\displaystyle 48$ , and the length of the rectangle is $\displaystyle 6$ , what is the width of the rectangle?

Possible Answers:

$\displaystyle 9$

$\displaystyle 8$

$\displaystyle 6$

$\displaystyle 7$

Correct answer:

$\displaystyle 8$

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.

$\text{Width}=\frac{48}{6}=8$ $\displaystyle \text{Width}=\frac{48}{6}=8$

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Example Question #495 : Plane Geometry

If the area of a rectangle is $\displaystyle 88$ , and the length of the rectangle is $\displaystyle 8$ , what is the width of the rectangle?

Possible Answers:

$\displaystyle 10$

$\displaystyle 9$

$\displaystyle 11$

$\displaystyle 8$

Correct answer:

$\displaystyle 11$

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.

$\text{Width}=\frac{88}{8}=11$ $\displaystyle \text{Width}=\frac{88}{8}=11$

Report an Error

Example Question #496 : Plane Geometry

If the area of a rectangle is $\displaystyle 36$ , and the length of the rectangle is $\displaystyle 4$ , what is the width of the rectangle?

Possible Answers:

$\displaystyle 9$

$\displaystyle 3$

$\displaystyle 6$

$\displaystyle 12$

Correct answer:

$\displaystyle 9$

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.

$\text{Width}=\frac{36}{4}=9$ $\displaystyle \text{Width}=\frac{36}{4}=9$

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Example Question #501 : Basic Geometry

If the area of a rectangle is $\displaystyle 68$ , and the length of the rectangle is $\displaystyle 2$ , what is the width of the rectangle?

Possible Answers:

$\displaystyle 34$

$\displaystyle 31$

$\displaystyle 35$

$\displaystyle 32$

Correct answer:

$\displaystyle 34$

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.

$\text{Width}=\frac{68}{2}=34$ $\displaystyle \text{Width}=\frac{68}{2}=34$

Report an Error

Example Question #502 : Basic Geometry

If the area of a rectangle is $\displaystyle 66$ , and the length of the rectangle is $\displaystyle 11$ , what is the width of the rectangle?

Possible Answers:

$\displaystyle 4$

$\displaystyle 6$

$\displaystyle 2$

$\displaystyle 8$

Correct answer:

$\displaystyle 6$

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.

$\text{Width}=\frac{66}{11}=6$ $\displaystyle \text{Width}=\frac{66}{11}=6$

Report an Error

Example Question #503 : Basic Geometry

If the area of a rectangle is 108 $\displaystyle 108$ , and the length of the rectangle is $\displaystyle 12$ , what is the width of the rectangle?

Possible Answers:

$\displaystyle 6$

$\displaystyle 9$

$\displaystyle 15$

$\displaystyle 3$

Correct answer:

$\displaystyle 9$

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.

$\text{Width}=\frac{108}{12}=9$ $\displaystyle \text{Width}=\frac{108}{12}=9$

Report an Error

Example Question #504 : Basic Geometry

If the area of a rectangle is 212 $\displaystyle 212$ , and the length of the rectangle is $\displaystyle 4$ , what is the width of the rectangle?

Possible Answers:

$\displaystyle 53$

$\displaystyle 57$

$\displaystyle 55$

$\displaystyle 51$

Correct answer:

$\displaystyle 53$

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.

$\text{Width}=\frac{212}{4}=53$ $\displaystyle \text{Width}=\frac{212}{4}=53$

Report an Error

Example Question #505 : Basic Geometry

If the area of a rectangle is $\displaystyle 12$ , and the length of the rectangle is $\displaystyle 12$ , what is the width of the rectangle?

Possible Answers:

$\displaystyle 2$

$\displaystyle 1$

$\displaystyle 3$

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

Correct answer:

$\displaystyle 1$

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.

$\text{Width}=\frac{12}{12}=1$ $\displaystyle \text{Width}=\frac{12}{12}=1$

Report an Error

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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 #21 : How To Find The Length Of The Side Of A Rectangle

Example Question #493 : Plane Geometry

Example Question #494 : Plane Geometry

Example Question #495 : Plane Geometry

Example Question #496 : Plane Geometry

Example Question #501 : Basic Geometry

Example Question #502 : Basic Geometry

Example Question #503 : Basic Geometry

Example Question #504 : Basic Geometry

Example Question #505 : Basic Geometry

All Basic Geometry Resources

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