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ISEE Lower Level Math : Plane Geometry

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10 Diagnostic Tests 170 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #31 : Rectangles

Find the area of a rectangle whose width is and length is .

Possible Answers:

Correct answer:

Explanation:

To solve, simply use the formula for the area of a rectangle. Thus,

A=w*l=2*4=8

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Example Question #32 : Rectangles

Find the area of a rectanlge whose length is and width is .

Possible Answers:

Correct answer:

Explanation:

To solve, simply use the formula for the area of a rectangle. Thus,

A=l*w=5*8=40

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Example Question #33 : Rectangles

A garden is 7 by 5 in size and you need to know how much fence is needed to surround it. What is the perimeter?

Possible Answers:

Correct answer:

Explanation:

The perimeter is all four sides added together so you have two sides that are and two that are . So the answer would be 7+7+5+5=24 .

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Example Question #41 : Rectangles

A computer screen has a height of 9 inches and a width of 16 inches. Find its area.

Possible Answers:

50in^2

288in^2

144in^2

25in^2

Correct answer:

144in^2

Explanation:

A computer screen has a height of 9 inches and a width of 16 inches. Find its area.

Area can be found by multiplying the length by the width.

A=9*16=144

So our answer is 144

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Example Question #74 : Geometry

A rectangle measures inches on its short side, and y + 1 inches on its long side. What is its area?

Possible Answers:

2xy + 2

xy + 1

y + x

xy + x

2xy

Correct answer:

xy + x

Explanation:

To find the area of a rectangle, multiply the length of the long side by the length of the short side. The best way to find the answer is:

x * (y + 1) = xy + x

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Example Question #42 : Rectangles

A rectangle measures inches on its short side, and u - 1 inches on its long side. What is its area?

Possible Answers:

7u - 1

14u - 1

7u - 7

14u - 14

7u^2 - 7

Correct answer:

7u - 7

Explanation:

To find the area of a rectangle, multiply the length of the long side by the length of the short side. The best way to find the answer is:

7(u-1) = 7u - 7

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Example Question #55 : Quadrilaterals

A swimming pool is in the shape of a rectangle that is 20 feet wide and 30 feet long. Find the area of the swimming pool.

Possible Answers:

$50\text{ft}$

$100\text{ft}$

$600\text{ft}$

$600\text{ft}^2$

$50\text{ft}^2$

Correct answer:

$600\text{ft}^2$

Explanation:

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

$\text{area of rectangle} = l \cdot w$

where l is the length and w is the width of the rectangle.

In this case, we know the length of the swimming pool is 30 feet. We also know the width of the pool is 20 feet. So, we can substitute into the formula. We get

$\text{area of rectangle} = 30\text{ft} \cdot 20\text{ft}$

$\text{area of rectangle} = 600\text{ft}^2$

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Example Question #55 : Quadrilaterals

Use the following to answer the question.

Rectangle2

You go to the community center to go swimming. You see that the pool is a rectangular shape. If the pool has a length of 45 feet and a width of 20 feet, what is the area of the pool?

Possible Answers:

$900\text{ feet}^2$

$130\text{ feet}^2$

$\text{There is not enough information to answer the question.}$

$900 \text{ feet}$

$130\text{ feet}$

Correct answer:

$900\text{ feet}^2$

Explanation:

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

$\text{area of rectangle} = l \cdot w$

where l is the length and w is the width of the rectangle.

So, given the rectangle

Rectangle2

we can see the length is 45 feet and the width is 20 feet. Knowing this, we can substitute into the formula. We get

$\text{area of rectangle} = 45\text{ feet} \cdot 20\text{ feet}$

$\text{area of rectangle} = 900 \text{ feet}^2$

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Example Question #56 : Quadrilaterals

Find the area of a rectangle with a length of 10cm and a width that is half the length.

Possible Answers:

$30\text{cm}$

$50\text{cm}$

$50\text{cm}^2$

$30\text{cm}^2$

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

Correct answer:

$50\text{cm}^2$

Explanation:

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

$\text{area of rectangle} = l \cdot w$

where l is the length and w is the width of the rectangle.

Now, we know the length of the rectangle is 10cm. We also know the width is half of the length. Therefore, the width is 5cm. Knowing this, we can substitute into the formula. We get

$\text{area of rectangle} = 10\text{cm} \cdot 5\text{cm}$

$\text{area of rectangle} = 50\text{cm}^2$

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Example Question #76 : Geometry

Find the area of a rectangle with a width of 6 feet and a length that is two times the width.

Possible Answers:

$144\text{ft}$

$36\text{ft}$

$72\text{ft}$

$36\text{ft}^2$

$72\text{ft}^2$

Correct answer:

$72\text{ft}^2$

Explanation:

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

$\text{area of rectangle} = l \cdot w$

where l is the length and w is the width of the rectangle.

Now, we know the width is 6 feet. We know the length is two times the width. Therefore, the length is 12 feet. Knowing this, we can substitute into the formula. We get

$\text{area of rectangle} = 12\text{ft} \cdot 6\text{ft}$

$\text{area of rectangle} = 72\text{ft}^2$

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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 #31 : Rectangles

Example Question #32 : Rectangles

Example Question #33 : Rectangles

Example Question #41 : Rectangles

Example Question #74 : Geometry

Example Question #42 : Rectangles

Example Question #55 : Quadrilaterals

Example Question #55 : Quadrilaterals

Example Question #56 : Quadrilaterals

Example Question #76 : Geometry

All ISEE Lower Level Math Resources

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