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ISEE Lower Level Math : Plane Geometry

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Example Questions

Example Question #221 : Plane Geometry

Find the area of a square whose side length is .

Possible Answers:

Correct answer:

Explanation:

To solve, simply use the formula for are of a square. Thus,

A=s^2=s*s=1*1=1

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Example Question #222 : Plane Geometry

Find the area of a square with side length .

Possible Answers:

Correct answer:

Explanation:

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

A=s^2=s*s=9*9=81

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Example Question #223 : Plane Geometry

If your square jewelry box has a base with an area of 36, what are the side lengths of the base?

Possible Answers:

Correct answer:

Explanation:

To find the area of a square, you square the side length. To find the side length from the area, you must find the square root of the area. So the answer is $\sqrt{36}=6$ .

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Example Question #224 : Plane Geometry

There is a square courtyard in town. Each side has a length of 50 feet. Find the perimeter of the courtyard.

Possible Answers:

2,500 ft

200ft

100ft

25ft

Correct answer:

200ft

Explanation:

There is a square courtyard in town. Each side has a length of 50 feet. Find the perimeter of the courtyard.

Perimeter is the distance around a shape. In this case, we have a square, which has four equal sides. To find the perimeter of a square, multiply the side length by 4.

P=50ft*4=200ft

So our answer is 200 ft

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Example Question #225 : Plane Geometry

There is a square courtyard in town. Each side has a length of 50 feet. Find the area of the courtyard.

Possible Answers:

5,000ft^2

2,500ft^2

200ft^2

100ft^2

Correct answer:

2,500ft^2

Explanation:

There is a square courtyard in town. Each side has a length of 50 feet. Find the area of the courtyard.

To find the area of a square, simply square the side length

A=s^2=(50ft)^2=2,500ft^2

So our answer is:

2,500ft^2

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Example Question #95 : Squares

What is the area of a square with a side length of x + 1 inches?

Possible Answers:

x^2 + 2x + 1 in^2

x + 2x + 1 in^2

x^2 + 2x + 2 in^2

x^2 + 2x + 3 in^2

x^2 + 3x + 1 in^2

Correct answer:

x^2 + 2x + 1 in^2

Explanation:

To find the area of a square, simply multiply the side length by itself. The best answer is:

(x+1)(x+1) = x^2 + 2x + 1

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Example Question #96 : Squares

What is the area of a square with a side length of 8.5 inches?

Possible Answers:

72.25 in^2

70.25 in^2

in^2

74.25 in^2

72.45 in^2

Correct answer:

72.25 in^2

Explanation:

To find the area of a square, simply multiply the side length by itself. The best answer is:

8.5 * 8.5 = 72.25

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Example Question #95 : Squares

What is the area of a square with a side length of inches?

Possible Answers:

144 in^2

116 in^2

182 in^2

200 in^2

132 in^2

Correct answer:

144 in^2

Explanation:

To find the area of a square, simply multiply the side length by itself. The best answer is:

12 * 12 = 144

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Example Question #96 : Squares

What is the area of a square with a side length of 9.1 inches?

Possible Answers:

82.01 in^2

83.81 in^2

82.89 in^2

82.81 in^2

84.81 in^2

Correct answer:

82.81 in^2

Explanation:

To find the area of a square, simply multiply the side length by itself. The best answer is:

82.81

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Example Question #97 : Squares

Find the area of a square with a side having the length of 13cm.

Possible Answers:

$169\text{cm}^2$

$52\text{cm}$

$52\text{cm}^2$

$169\text{cm}$

$26\text{cm}$

Correct answer:

$169\text{cm}^2$

Explanation:

To find the area of a square, use the following formula:

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

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

We know squares have 4 equal sides. We know the one side of the square is 13cm, therefore all sides are 13cm. So, knowing this, we know the length is 13cm and the width is also 13cm. Now, we can substitute.

$\text{area of square} = 13\text{cm} \cdot 13\text{cm}$

$\text{area of square} = 169\text{cm}^2$

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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 #221 : Plane Geometry

Example Question #222 : Plane Geometry

Example Question #223 : Plane Geometry

Example Question #224 : Plane Geometry

Example Question #225 : Plane Geometry

Example Question #95 : Squares

Example Question #96 : Squares

Example Question #95 : Squares

Example Question #96 : Squares

Example Question #97 : Squares

All ISEE Lower Level Math Resources

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