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ISEE Lower Level Math : Geometry

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

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All ISEE Lower Level Math Resources

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

Example Questions

Example Question #26 : How To Find The Perimeter Of A Rectangle

Your front yard is in the shape of a rectangle. You want to build a fence all around your front yard. The length of your yard is 40 feet. The width of your yard is half the length. How many feet of fencing will you need for your front yard?

Possible Answers:

$160\text{ feet}$

$120\text{ feet}$

$60\text{ feet}$

$2000\text{ feet}$

$80\text{ feet}$

Correct answer:

$120\text{ feet}$

Explanation:

To find how much fencing we will need, we need to determine the perimeter of the yard. To find the perimeter, we use the following formula:

$\text{perimeter of rectangle} = 2l+2w$

where l is the length and w is the width of the rectangle (in this case, the yard). We know the length is 40 feet. We also know the width is half the length, so the width is 20 feet. Now, we can substitute.

$\text{perimeter of rectangle} = 2(40\text{ feet}) + 2(20 \text{ feet})$

$\text{perimeter of rectangle} = 80 \text{ feet} + 40 \text{ feet}$

$\text{perimeter of rectangle} = 120 \text{ feet}$

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Example Question #102 : Plane Geometry

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

Possible Answers:

46y

32y

50y

48y

24y

Correct answer:

48y

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:

6 * 8y = 48y

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Example Question #121 : Geometry

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

Possible Answers:

u^2 + 2nu

u^2 + n^2u

2u^2 + nu

u^2 + nu^2

u^2 + nu

Correct answer:

u^2 + nu

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:

u(u+n)=u^2 + nu

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Example Question #29 : 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:

Correct answer:

Explanation:

To find the perimeter of any object, simply add the length of each side together. The best answer is:

4 + 4 + 5 + 5 = 18

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Example Question #30 : How To Find The Perimeter Of A Rectangle

A rectangle measures inches along its short side, and x + 1 inches along its long side. What is the perimeter of the rectangle?

Possible Answers:

2x + 2

4x + 2

4x + 4

Correct answer:

4x + 2

Explanation:

To find the perimeter of any object, simply add the length of each side together. The best answer is:

x + x + x+1+x+1 = 4x + 2

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Example Question #31 : 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:

Correct answer:

Explanation:

To find the perimeter of any object, simply add the length of each side together. The best answer is:

2 + 2 + 8 + 8 = 20

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Example Question #31 : 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:

2n + 2+m

2n + 2m

4nm

Correct answer:

2n + 2m

Explanation:

To find the perimeter of any object, simply add the length of each side together. The best answer is:

n + n + m + m = 2n + 2m

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Example Question #101 : Plane Geometry

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 perimeter of the pool?

Possible Answers:

$130\text{ feet}$

$900\text{ feet}$

$900\text{ feet}^2$

$130 \text{ feet}^2$

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

Correct answer:

$130\text{ feet}$

Explanation:

To find the perimeter of a rectangle, we 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

Rectangle2

we can see that the length is 45 feet. We also see the width is 20 feet. Now, because it is a rectangle, we know that opposite sides of the rectangle are equal. In other words,

Rectangle3

So, now that we know the lengths of all the sides of the rectangle, we can substitute into the formula. We get

$\text{perimeter of rectangle} = 20\text{ feet} + 20\text{ feet} + 45\text{ feet} + 45 \text{ feet}$

$\text{perimeter of rectangle} = 130 \text{ feet}$

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Example Question #122 : Geometry

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

Possible Answers:

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

$30\text{cm}^2$

$50\text{cm}$

$30\text{cm}$

$50\text{cm}^2$

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 length of the rectangle is 10cm. We also know that because it is a rectangle, the opposite length is also 10cm.

We know the width of the rectangle is half the length. Therefore, the width is 5cm. We also know that because it is a rectangle, the opposite width is also 5cm.

Now, knowing all of this, we can substitute into the formula. We get

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

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

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Example Question #111 : Plane Geometry

Find the perimeter of a rectangle with a length of 14 inches and a width that is half the length.

Possible Answers:

$42\text{in}^2$

$56\text{in}$

$42\text{in}$

$98\text{in}$

$56\text{in}^2$

Correct answer:

$42\text{in}$

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 14 inches. Because it is a rectangle, we know the opposite side is the same length. Therefore, the opposite side is also 14 inches. We also know the width is half the length. Therefore, the width is 7 inches. Because it is a rectangle, we know the opposite side is the same length. Therefore, the opposite side is also 7 inches. Knowing this, we can substitute into the formula. We get

$\text{perimeter of rectangle} = 14\text{in} + 14\text{in} +7\text{in} + 7\text{in}$

$\text{perimeter of rectangle} = 42\text{in}$

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ISEE Lower Level Math : Geometry

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #26 : How To Find The Perimeter Of A Rectangle

Example Question #102 : Plane Geometry

Example Question #121 : Geometry

Example Question #29 : How To Find The Perimeter Of A Rectangle

Example Question #30 : How To Find The Perimeter Of A Rectangle

Example Question #31 : How To Find The Perimeter Of A Rectangle

Example Question #31 : How To Find The Perimeter Of A Rectangle

Example Question #101 : Plane Geometry

Example Question #122 : Geometry

Example Question #111 : Plane Geometry

All ISEE Lower Level Math Resources

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