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ISEE Lower Level Math : Plane 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 #8 : How To Find The Area Of A Rectangle

Sally's room measures 100 square feet. Which type of measurement is this?

Possible Answers:

Perimeter

Width

Volume

Area

Length

Correct answer:

Area

Explanation:

Area is measured in units squared, and volume is measured in units cubed. Width, length, and perimeter are all measured in regular units.

Therefore, 100 square feet is the area of the room.

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Example Question #5 : Rectangles

Robert needs to determine the area of his rectangular wall in order to buy the proper amount of paint at the store. When he measures his wall he determines that it is 12 feet high and 20 feet wide. If one can of paint covers 40 square feet of wall, how many cans of paint does Robert need?

Possible Answers:

$\dpi{100} 6$

$\dpi{100} 7$

$\dpi{100} 4$

$\dpi{100} 8$

Correct answer:

$\dpi{100} 6$

Explanation:

Find the area of the wall - $\dpi{100} 12\times 20=240$

Divide $\dpi{100} 240\div 40=6$

6 cans of paint.

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Example Question #4 : How To Find The Area Of A Rectangle

What is the area of a rectangle with a length of $\small 5$ feet and a width of $\small 25$ feet?

Possible Answers:

$\small 30$ square feet

$\small 125$ square feet

$\small 100$ square feet

250 square feet

$\small 60$ square feet

Correct answer:

$\small 125$ square feet

Explanation:

To find the area of a rectangle, multiply the length by the width.

$\small 5\times25=125$

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

Joe has a rectangular poster that is 3 feet long and 2 feet wide. What is the area of the poster?

Possible Answers:

$10\ \text{ft}^2$

$6\ \text{ft}^2$

$4\ \text{ft}^2$

$5\ \text{ft}^2$

$8\ \text{ft}^2$

Correct answer:

$6\ \text{ft}^2$

Explanation:

The area of a rectangle is found by multiping the length times the width. Given that the length is 3 feet, the width is 2 feet, the total cubic area would be found using this equation:

$\text{length}\times \text{width} = \text{area}$

Here is the equation with the appropriate numbers plugged in from the question:

$3\ \text{ft}\times2\ \text{ft}=6\ \text{ft}^2$

6 square feet, or $6\ \text{ft}^2$ is the correct answer.

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

Leslie has a blanket that is $14\ \text{ft}^2$ in area. Jen has a blanket that is half the size of Leslie's blanket. How big is Jen's blanket?

Possible Answers:

$6\ \text{ft}^2$

$24\ \text{ft}^2$

$12\ \text{ft}^2$

$8\ \text{ft}^2$

$7\ \text{ft}^2$

Correct answer:

$7\ \text{ft}^2$

Explanation:

If Jen's blanket is half as big as Leslie's blanket, and Leslie's blanket is $14\ \text{ft}^2$ , then we need to divide by 2 to find the area of Jen's blanket.

$14\ \text{ft}^2\div2=7\ \text{ft}^2$

The area of Jen's blanket is $7\ \text{ft}^2$ .

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Example Question #21 : Plane Geometry

What is the area (in square feet) of a rectangle with a length of feet and a width of feet?

Possible Answers:

$46\ \text{ft}^2$

$49\ \text{ft}^2$

$38\ \text{ft}^2$

$47\ \text{ft}^2$

$42\ \text{ft}^2$

Correct answer:

$42\ \text{ft}^2$

Explanation:

The area of a rectangle is calculated by multiplying length times width.

$A=l\times w$

Given that the width is 6 feet and the height is 7, the product of 6 and 7 is 42.

$A=6\ \text{ft}\times 7\ \text{ft}$

$A=42\ \text{ft}^2$

Therefore, 42 is the correct answer.

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

If the area of a rectangle is 28 square inches and its width is 4 inches, what is the length in inches?

Possible Answers:

None of these

Correct answer:

Explanation:

The area of a rectangle is equal to the width multiplied by the length, or:

$A=l\times w$

If the area of a rectangle is 28 inches and the width is 4 inches, then plugging this into the equation we would get:

$28=l\times4$

28=4l

Divide both sides by 4 to solve.

$28\div4=4l\div4$

7=l

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Example Question #42 : Geometry

If a rectangle has an area of 18, which of the following are possible dimensions of the length and width?

Possible Answers:

$l=4,\ w=3$

$l=9,\ w=2$

$l=5,\ w=3$

None of these

$l=8,\ w=2$

Correct answer:

$l=9,\ w=2$

Explanation:

If the area of the rectangle is 18, that means that the length and the width, when multiplied together, should equal 18.

$A=l\times w=18$

The only numbers from the answer choices that would result in the product of 18 are 9 by 2, which is therefore the correct answer.

$l=9,\ w=2$

$9\times2=18$

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

Ben is making a sandbox with a width of 4 feet and a length of 6 feet. What is the area of the sandbox?

Possible Answers:

$42\ \text{ft}^2$

$22\ \text{ft}^2$

$36\ \text{ft}^2$

$24\ \text{ft}^2$

$18\ \text{ft}^2$

Correct answer:

$24\ \text{ft}^2$

Explanation:

The area of a rectangle is the width times the length.

$A=w\times l$

The width is 4 feet and the length is 6 feet. Because 4 times 6 is 24, the area is 24 square feet.

$A=4\text{ft}\times6\text{ft}$

$A=24\ \text{ft}^2$

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

Jerry has a mat with an area of 20 square feet and a length of 5 feet. What is the width of the mat in inches?

Possible Answers:

$4\text{in}$

None of these

$24\text{in}$

$20\text{in}$

$48\text{in}$

Correct answer:

$48\text{in}$

Explanation:

The area of a rectangle is the width times the length.

$A=w\times l$

Given that the area is 20 square feet and the length is 5 feet, the width would have to be 4 feet because 5 times 4 is 20.

$20\text{ft}^2=w\times5\text{ft}$

$w=\frac{20\text{ft}^2}{5\text{ft}}=4\text{ft}$

Given that the question asks for the width in inches, 4 should be multiplied by 12 (as there are 12 inches in a foot).

$4\text{ft}\times12\text{inches per foot}=48\text{in}$

This gives us a product of 48 inches, which is the width.

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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 #8 : How To Find The Area Of A Rectangle

Example Question #5 : Rectangles

Example Question #4 : How To Find The Area Of A Rectangle

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

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

Example Question #21 : Plane Geometry

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

Example Question #42 : Geometry

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

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

All ISEE Lower Level Math Resources

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