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ISEE Lower Level Math : Plane Geometry

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Example Questions

Example Question #137 : Geometry

Find the perimeter of a rectangle with a width of 5cm and a length that is two times the width.

Possible Answers:

$30\text{cm}$

$12\text{cm}$

$\text{There is not enough information to solve the problem.}$

$50\text{cm}$

$7\text{cm}$

Correct answer:

$30\text{cm}$

Explanation:

To find the perimeter of a rectangle, we will use the following formula:

$\text{perimeter of rectangle} = a+b+c+d$

where a, b, c and d are the lengths of the sides of the rectangle.

Now, we know the width of the rectangle is 5cm. Because it is a rectangle, the opposite side is also 5cm. We also know the length is two times the width. Therefore, the length is 10cm. Because it is a rectangle, the opposite side is also 10cm.

Knowing this, we can substitute into the formula. We get

$\text{perimeter of rectangle} = 5\text{cm} + 5\text{cm} + 10\text{cm} + 10\text{cm}$

$\text{perimeter of rectangle} = 30\text{cm}$

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Example Question #41 : How To Find The Perimeter Of A Rectangle

Use the following rectangle to answer the question.

Rectangle4

Find the perimeter.

Possible Answers:

$72\text{cm}$

$16\text{cm}$

$32\text{cm}$

$25\text{cm}$

$63\text{cm}$

Correct answer:

$32\text{cm}$

Explanation:

To find the perimeter of a rectangle, we will use the following formula:

$\text{perimeter of rectangle} = a+b+c+d$

where a, b, c, and d are the lengths of the sides of the rectangle.

Now, given the rectangle

Rectangle4

We can see the length is 9cm. Because it is a rectangle, the opposite side is also 9cm.

We can see the width is 7cm. Because it is a rectangle, the opposite side is also 7cm.

Knowing this, we can substitute into the formula. We get

$\text{perimeter of rectangle} = 9\text{cm} + 9\text{cm} + 7\text{cm} + 7\text{cm}$

$\text{perimeter of rectangle} = 32\text{cm}$

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Example Question #121 : Plane Geometry

Use the following rectangle to answer the question:

Rectangle2

Find the perimeter.

Possible Answers:

$55\text{in}$

$32\text{in}$

$32\text{in}^2$

$16\text{in}$

$55\text{in}^2$

Correct answer:

$32\text{in}$

Explanation:

To find the perimeter of a rectangle, we will use the following equation:

$\text{perimeter of rectangle} = a+b+c+d$

where a, b, c, and d are the lengths of the sides of the rectangle.

Now, given the rectangle

Rectangle2

we can see the length is 11in. Because it is a rectangle, the opposite side is also 11in.

We can see the width of the rectangle is 5in. Because it is a rectangle, the opposite side is also 5in.

Knowing this, we can substitute into the formula. We get

$\text{perimeter of rectangle} = 11\text{in} + 11\text{in} + 5\text{in} + 5\text{in}$

$\text{perimeter of rectangle} = 32\text{in}$

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Example Question #142 : Geometry

A rectangle measures inches along its short side, and inches along its long side. What is the perimeter of the rectangle?

Possible Answers:

$\textup{in.}$

Correct answer:

$\textup{in.}$

Explanation:

To find the perimeter of any object, simply add the length of each side together. In the case of the rectangle, there are two short sides, and two long sides, so you can also multiply the short side by two, the long side by two, and add the sums. The best answer is:

(2 * 4) + (2* 8) =

8 + 16 =

inches

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Example Question #143 : Geometry

A rectangle measures inches along its short side, and inches along its long side. What is the perimeter of the rectangle?

Possible Answers:

$\textup{in.}$

Correct answer:

$\textup{in.}$

Explanation:

(2 * 2) + (2*3)=

4 + 6 =

inches

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Example Question #144 : Geometry

A rectangle measures inches along its short side, and inches along its long side. What is the perimeter of the rectangle?

Possible Answers:

200 $\textup{in.}$

$\textup{in.}$

120 $\textup{in.}$

$\textup{in.}$

100 $\textup{in.}$

Correct answer:

100 $\textup{in.}$

Explanation:

(24 * 2) + (26 * 2) =

48 + 52 =

100 inches

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Example Question #51 : How To Find The Perimeter Of A Rectangle

A rectangle measures inches along its short side, and inches along its long side. What is the perimeter of the rectangle?

Possible Answers:

$\textup{in.}$

Correct answer:

$\textup{in.}$

Explanation:

(2 * 11) + (2 * 20) =

22 + 40 =

inches

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Example Question #121 : Quadrilaterals

Find the perimeter of a rectangle with a length of 16in and a width that is half the length.

Possible Answers:

$64\text{in}$

$36\text{in}$

$8\text{in}$

$48\text{in}$

$24\text{in}$

Correct answer:

$48\text{in}$

Explanation:

To find the perimeter of a rectangle, we will use the following formula:

$\text{perimeter of rectangle} = a+b+c+d$

Where a, b, c, and d are the lengths of the sides of the rectangle.

Now, we know the length of the rectangle is 16in. Because it is a rectangle, the opposite side is also 16in.

We know the width is half the length. Therefore, the width is 8in. Because it is a rectangle, the opposite side is also 8in.

Knowing this, we can substitute into the formula. We get

$\text{perimeter of rectangle} = 16\text{in} + 16\text{in} + 8\text{in} + 8\text{in}$

$\text{perimeter of rectangle} = 48\text{in}$

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Example Question #147 : Geometry

Find the perimeter of a rectangle with a width of 7cm and a length that is two times the width.

Possible Answers:

$21\text{cm}$

$56\text{cm}$

$36\text{cm}$

$28\text{cm}$

$42\text{cm}$

Correct answer:

$42\text{cm}$

Explanation:

To find the perimeter of a rectangle, we will use the following formula:

P = a+b+c+d

Where a, b, c, and d are the lengths of the sides of the rectangle.

Now, we know the width is 7cm. Because it is a rectangle, the opposite side is also 7cm.

We know the length is two times the width. Therefore, the length is 14cm. Because it is a rectangle, the opposite side is also 14cm.

Knowing this, we can substitute into the formula. We get

$P = 7\text{cm} + 7\text{cm} + 14\text{cm} + 14\text{cm}$

$P = 42\text{cm}$

Report an Error

Example Question #148 : Geometry

Find the perimeter of the following rectangle:

Rectangle2

Possible Answers:

$55\text{in}$

$22\text{in}$

$32\text{in}$

$16\text{in}$

$27\text{in}$

Correct answer:

$32\text{in}$

Explanation:

To find the perimeter of a rectangle, we will use the following formula:

P = a+b+c+d

Where a, b, c, and d are the lengths of the sides of the rectangle.

Now, given the rectangle

Rectangle2

we can see the length is 11in. Because it is a rectangle, the opposite side is also 11in.

We can see the width is 5in. Because it is a rectangle, the opposite side is also 5in.

Knowing this, we can substitute into the formula. We get

$P = 11\text{in} + 11\text{in}+ 5\text{in} + 5\text{in}$

$P = 32\text{in}$

Report an Error

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ISEE Lower Level Math : Plane Geometry

Study concepts, example questions & explanations for ISEE Lower Level Math

All ISEE Lower Level Math Resources

Example Questions

Example Question #137 : Geometry

Example Question #41 : How To Find The Perimeter Of A Rectangle

Example Question #121 : Plane Geometry

Example Question #142 : Geometry

Example Question #143 : Geometry

Example Question #144 : Geometry

Example Question #51 : How To Find The Perimeter Of A Rectangle

Example Question #121 : Quadrilaterals

Example Question #147 : Geometry

Example Question #148 : Geometry

All ISEE Lower Level Math Resources

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