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ISEE Lower Level Math : Geometry

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

Example Questions

Example Question #982 : Isee Lower Level (Grades 5 6) Mathematics Achievement

A rectangle has a length of 10 feet and a width of 1 foot. What is the area of the rectangle?

Possible Answers:

$20\ \text{ft}^2$

$5\ \text{ft}^2$

$11\ \text{ft}^2$

$22\ \text{ft}^2$

$10\ \text{ft}^2$

Correct answer:

$10\ \text{ft}^2$

Explanation:

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

$A=l\times w$

Given that the length is 10 feet and that the width is 1 foot we can multiply to find the final area:

$A=10\text{ft}\times1\text{ft}=10\text{ft}^2$

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Example Question #983 : Isee Lower Level (Grades 5 6) Mathematics Achievement

What is the area of a rectangle with a width of 6 inches and a length of 7 inches?

Possible Answers:

$24\ \text{in}^2$

$13\ \text{in}^2$

$26\ \text{in}^2$

$84\ \text{in}^2$

$42\ \text{in}^2$

Correct answer:

$42\ \text{in}^2$

Explanation:

The area of a rectangle is equal to the length multiplied by the width. Since the width is 6 inches and the length is 7 inches, the area is equal to 6 times 7.

$A=l\times w$

$A=7\text{in}\times6\text{in}=42\text{in}^2$

The area is 42 square inches.

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

If a rectangle has a perimeter of 40, a width of 4, and a length of 4x, what is the value of x?

Possible Answers:

Correct answer:

Explanation:

The perimeter of a rectangle is equal to width+width+length+length .

Thus, 4+4+4x+4x=40 .

Add like terms:

8+8x=40

Subtract 8 from both sides:

8x=32

Divide both sides by 8:

x=4

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Example Question #22 : How To Find The Area Of A Rectangle

A rectangle has a perimeter of 30. One of its sides has a length of 6. What is its area?

Possible Answers:

Correct answer:

Explanation:

If the rectangle has one side that is , we know that two of them must be that size. Therefore, we know that it looks something like this:

Rect6

If the perimeter is 30, you know that the following equation holds:

12+2x = 30

This means that the other two sides can be found by solving for :

2x = 30-12

2x = 18

$\frac{2x}{2}=\frac{18}{2}$

x=9

The area of a rectangle is equal to its base times its height:

A = 6*9=54

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Example Question #22 : How To Find The Area Of A Rectangle

A rectangle has two sides that are each . Its other sides are twice this length. What is the area of the rectangle?

Possible Answers:

100

200

150

Correct answer:

200

Explanation:

If one side is , the doubled side must be . Therefore, the rectangle looks like this:

Untitled_2

The area of a rectangle is equal to its base times its height:

A = BH = 10 * 20 = 200

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Example Question #31 : Plane Geometry

What is the area of the following rectangle?

Untitled_4

Possible Answers:

51.3

102.92

20.7

41.4

13.4

Correct answer:

102.92

Explanation:

The area of a rectangle is defined as the base multiplied by its height. Therefore, for this rectangle:

A=12.4*8.3=102.92

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Example Question #25 : How To Find The Area Of A Rectangle

One side of a rectangle has a length of 10. What is the area of this rectangle if it has a perimeter of 120?

Possible Answers:

500

250

120

175

Correct answer:

500

Explanation:

Based on what we were told, our rectangle looks like this:

Untitled_5

We know, therefore, that there is 120-20 or 100 remaining for the other two sides. This means that they are . So, our rectangle ultimately looks like this:

Untitled_6

The area of a rectangle is its base times its height. Therefore, the area is:

50 * 10 = 500

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

A rectangle has a width of and a length of . Find the area of the rectangle.

Possible Answers:

156

144

Correct answer:

156

Explanation:

To find the area of a rectangle apply the formula:

$Area= Width\times Length$

This problem provides the measurements for both the width and length of the rectangle.

Thus, the solution is:

$Area=12\times13=156$

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Example Question #24 : How To Find The Area Of A Rectangle

A rectangle has a width of and a perimeter measurement of . Find the area of the rectangle.

Possible Answers:

195

112

Not enough information is provided.

Correct answer:

195

Explanation:

In this problem you are given the width and perimeter of the rectangle. However, to solve for the area of the rectangle you must first find the length of the rectangle. To do so, work backwards using the formula:

Perimeter=2(W+L)

56=2(15+L)

56=30+2L

2L=56-30=26

$L=\frac{26}{2}=13$

Now that you know the width and length of the rectangle, apply the area formula:

$Area=Width\times Length$

$Area=15\times 13= 195$

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Example Question #53 : Geometry

Isee rect.

Find the area of the rectangle shown above.

Possible Answers:

158ft^2

200ft^2

180 ft^2

58ft^2

90ft^2

Correct answer:

180 ft^2

Explanation:

To find the area of a rectangle apply the formula:

$Area= Width\times Length$

The image provides the measurements for both the width and length of the rectangle.

Thus, the solution is:

$Area=20\times9=180$

Tip for mental math: Since you are multiplying times a multiple of ten, you can think of these factors as:

$2\times9=18$ and then tack on one zero to the product because the orginal factors have a total of one zero--which equals a product of 180 .

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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 #982 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #983 : Isee Lower Level (Grades 5 6) Mathematics Achievement

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

Example Question #22 : How To Find The Area Of A Rectangle

Example Question #22 : How To Find The Area Of A Rectangle

Example Question #31 : Plane Geometry

Example Question #25 : How To Find The Area Of A Rectangle

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

Example Question #24 : How To Find The Area Of A Rectangle

Example Question #53 : Geometry

All ISEE Lower Level Math Resources

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