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ISEE Lower Level Quantitative : Squares

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

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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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Example Question #1 : How To Find The Area Of A Square

What is the area of a square if one side of the square is 6?

Possible Answers:

Correct answer:

Explanation:

If one side of a square is 6, then each of the four sides of the square are equal to 6. To find the area of a square, we multiply the length and the height together. The length is 6, and the height is 6, thus the equation we use is 6*6=36 .

Remember the formula for the area of a quadrilateral is length*width . For a square, one side is equal to both the length and the width.

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Example Question #1 : Squares

One side of a square is centimeters long. What is the area of the square?

Possible Answers:

$8\: cm^{2}$

$32\: cm^{2}$

$64\: cm^{2}$

$16\: cm^{2}$

Correct answer:

$16\: cm^{2}$

Explanation:

The formula for finding the area of a square is $area = base\times height$ , or, because this is a square, $area = side^{2}$ .

area = centimeters $\times 4$ centimeters, or $16\: cm^{2}$

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Example Question #3 : How To Find The Area Of A Square

A right triangle has a base of and a height of .

What is the area of the rectangle made by 2 of these triangles aligned along the hypotenuse?

Possible Answers:

Correct answer:

Explanation:

If one combines the 2 identical triangles, their base and height become the length and width of the rectangle.

Area of a rectangle is:

$length\times height$

In this case

$7\times 4=28$

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Example Question #2 : How To Find The Area Of A Square

A square has an area of $16\ in^{2}$ . What is the length of one side?

Possible Answers:

$\dpi{100} 2\ inches$

$\dpi{100} 16\ inches$

$\dpi{100} 4\ inches$

$\dpi{100} 8\ inches$

Correct answer:

$\dpi{100} 4\ inches$

Explanation:

You can find the area of a square by multiplying two sides together. All of the sides of a square are equal. In this case, $\dpi{100} 4\times 4=16$ , so the length of all of the sides of the square is 4 inches.

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Example Question #3 : How To Find The Area Of A Square

Michaela drew th square below.

Screenshot_2015-03-25_at_3.13.25_pm

What is the area of the square?

Possible Answers:

100 square centimeters

112 square centimeters

144 square centimeters

48 square centimeters

12 square centimeters

Correct answer:

144 square centimeters

Explanation:

The area of a square can be found by multiplying the length of a side times itself. The side length of the above square is 12 cm. By finding 12 x 12, we find that the area of the square is 144 cm. squared.

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

James found the area of the square below to be 36 centimeters squared.

Screenshot_2015-03-25_at_3.13.12_pm

What is the length of one side of the square?

Possible Answers:

9 centimeters

36 centimeters

8 centimeters

18 centimeters

6 centimeters

Correct answer:

6 centimeters

Explanation:

The area of a square can be found by multiplying the length of a side by itself. 36 is equal to 6 times 6, therefore the length of one side is 6 centimeters.

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Example Question #5 : How To Find The Area Of A Square

Daphne found the area of the square below to be 81 centimeters squared.

Screenshot_2015-03-25_at_3.13.12_pm

What is the length of one side of the square?

Possible Answers:

9 centimeters

81 centimeters

8 centimeters

20 centimeters

7 centimeters

Correct answer:

9 centimeters

Explanation:

The area of a square can be found by multiplying the length of a side by itself. 81 is equal to 9 times 9, therefore the length of one side is 9 centimeters.

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

If the area of a square is $\small 36 ft^{2}$ , what is the length of each side?

Possible Answers:

$\small 9 ft$

$\small 13 ft$

$\small 6 ft$

$\small 7 ft$

$\small 10 ft$

Correct answer:

$\small 6 ft$

Explanation:

To find the area of a square, the length must be multiplied by the height. Since a square has four equal sides, the length and width will have the same measurement. We must, therefore, find the square root of $\small 36$ . Since $\small 6\cdot 6=36$ , $\small 6$ is the square root of $\small 36$ , which makes it the measurement for both the length and the width of the square.

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Example Question #4 : Squares

If the length of a rectangle is four times the width, and the width is $\small 17 in$ , what is the perimeter of the rectangle?

Possible Answers:

$\small 140 in$

$\small 170 in$

$\small 68 in$

$\small 34 in$

$\small 136 in$

Correct answer:

$\small 170 in$

Explanation:

In order to find the perimeter of a rectangle, we must add the length of all the sides together. In this case, however, we must first determine the length, which can be found by multiplying $\small 4$ by $\small 17 in$ , because the length is four times the width, which had already been defined as $\small 17 in$ .

$\small \small \small 4\cdot 17 in=68in$

Now we add together the four sides.

$\small 68in+68in+17in+17in=170in$

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Example Question #2 : Squares

If the perimeter of a square is $\small 116cm$ , what is the length of each side?

Possible Answers:

$\small 10cm$

$\small 29cm$

$\small 28cm$

$\small 27cm$

$\small 24cm$

Correct answer:

$\small 29cm$

Explanation:

To find the perimeter of a square, all the sides must be added together. Since a square has $\small 4$ equal sides, the length of each side can be determined by dividing the perimeter ( $\small 116cm$ ) by $\small 4$ .

$\small 116cm/4=29cm$

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ISEE Lower Level Quantitative : Squares

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

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #1 : How To Find The Area Of A Square

Example Question #1 : Squares

Example Question #3 : How To Find The Area Of A Square

Example Question #2 : How To Find The Area Of A Square

Example Question #3 : How To Find The Area Of A Square

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

Example Question #5 : How To Find The Area Of A Square

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

Example Question #4 : Squares

Example Question #2 : Squares

All ISEE Lower Level Quantitative Resources

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