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SSAT Elementary Level Math : Geometry

Study concepts, example questions & explanations for SSAT Elementary Level Math

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All SSAT Elementary Level Math Resources

12 Diagnostic Tests 526 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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

Screen_shot_2014-03-08_at_2.45.54_pm

What is the perimeter of the square?

Possible Answers:

$\displaystyle 40$

$\displaystyle 50$

$\displaystyle 20$

$\displaystyle 25$

$\displaystyle 55$

Correct answer:

$\displaystyle 20$

Explanation:

To find the perimeter of a square, add all four sides together. Since each side of a square is the same length, we only need one side's length to figure out the perimeter of a square!

$\displaystyle 5 + 5 + 5 + 5 = 20$

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Example Question #31 : Geometry

Screen_shot_2014-03-29_at_1.38.47_pm

What is the perimeter of the square?

Possible Answers:

120 $\displaystyle 120$

$\displaystyle 12$

$\displaystyle 48$

144 $\displaystyle 144$

$\displaystyle 96$

Correct answer:

$\displaystyle 48$

Explanation:

To find the perimeter of a square, simply add all four sides together. Since squares always have four equal sides, we only need the length of one side to determine the perimeter!

$\displaystyle 12 + 12 + 12 + 12 = 48$

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Example Question #6 : How To Find The Perimeter Of A Square

If John draws a square with a side of 7 centimeters, what is the square's perimeter?

Possible Answers:

$14\ cm$ $\displaystyle 14\ cm$

$28\ cm$ $\displaystyle 28\ cm$

$48\ cm$ $\displaystyle 48\ cm$

$49\ cm$ $\displaystyle 49\ cm$

$35\ cm$ $\displaystyle 35\ cm$

Correct answer:

$28\ cm$ $\displaystyle 28\ cm$

Explanation:

To find the perimeter of a square, multiply the side length by 4:

$7cm \times 4 = 28 cm$ $\displaystyle 7cm \times 4 = 28 cm$

Adding all four sides will produce the same result:

$\displaystyle 7cm+7cm+7cm+7cm=28cm$

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Example Question #32 : Geometry

Which formula would you use to find the perimeter of a square?

Possible Answers:

$\displaystyle s + s+s+s$

$s \times s$ $\displaystyle s \times s$

$l \times w \times h$ $\displaystyle l \times w \times h$

$\frac{1}{2}\times b \times h$ $\displaystyle \frac{1}{2}\times b \times h$

$l\times w$ $\displaystyle l\times w$

Correct answer:

$\displaystyle s + s+s+s$

Explanation:

The perimeter of a square is the sum of all its sides:

$\fn_cm \fn_cm s+s+s+s$ $\displaystyle \fn_cm \fn_cm s+s+s+s$

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Example Question #33 : Geometry

A square has an area of 49 square units. What is its perimeter?

Possible Answers:

$23\ \text{units}$ $\displaystyle 23\ \text{units}$

$28\ \text{units}$ $\displaystyle 28\ \text{units}$

$98\ \text{units}$ $\displaystyle 98\ \text{units}$

$49\ \text{units}$ $\displaystyle 49\ \text{units}$

$16\ \text{units}$ $\displaystyle 16\ \text{units}$

Correct answer:

$28\ \text{units}$ $\displaystyle 28\ \text{units}$

Explanation:

The area of a square is the side length squared.

$?\times ?=49$ $\displaystyle ?\times ?=49$

We can find this number by taking the square root of 49.

$\sqrt{49}=7$ $\displaystyle \sqrt{49}=7$

Therefore, the length of each side is 7 units.

The perimeter of a square is the sum of the lengths of the sides. There are 4 sides, each with a length of 7.

$\displaystyle 7+7+7+7=28$

The perimeter is 28 units.

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Example Question #5193 : Ssat Elementary Level Quantitative (Math)

Screen_shot_2014-10-11_at_10.05.25_pm

What is the perimeter of the above square?

Possible Answers:

$\displaystyle 55$

$\displaystyle 25$

$\displaystyle 30$

$\displaystyle 20$

$\displaystyle 10$

Correct answer:

$\displaystyle 20$

Explanation:

To find the perimeter of the square, add all four sides together. Even though we are not given the length of all four sides, we know each side is the same length because all squares have four equal sides.

$\displaystyle 5 + 5 + 5 + 5 = 20$

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Example Question #5194 : Ssat Elementary Level Quantitative (Math)

If the area of a square is 100 $\displaystyle 100$ , what is the perimeter of the square?

Possible Answers:

$\displaystyle 44$

$\displaystyle 40$

$\displaystyle 14$

$\displaystyle 20$

160 $\displaystyle 160$

Correct answer:

$\displaystyle 40$

Explanation:

Write the formula for the area of a square and substitute the area. The side length is needed to find the perimeter.

$\displaystyle A=s^2=100$

$s=\sqrt{100}=10$ $\displaystyle s=\sqrt{100}=10$

There are $\displaystyle 4$ sides in a square.

$\displaystyle P=4s=4(10)=40$

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Example Question #11 : How To Find The Perimeter Of A Square

The perimeter of a square is 100 $\displaystyle 100$ . What is the length of one of its sides?

Possible Answers:

$\displaystyle 50$

$\displaystyle 35$

$\displaystyle 10$

$\displaystyle 25$

Correct answer:

$\displaystyle 25$

Explanation:

A square has four equal sides. Perimeter is the sum of these four sides. Therefore,

$\fn_phv \fn_jvn \fn_cm side=perimeter\div4=100\div4=25$ .

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Example Question #34 : Geometry

What is the PERIMETER of the square in the figure?

Screen_shot_2014-01-31_at_3.53.52_pm

Possible Answers:

10 cm $\displaystyle 10 cm$

40 cm $\displaystyle 40 cm$

$\displaystyle 1,000 cm$

100 cm $\displaystyle 100 cm$

20 cm $\displaystyle 20 cm$

Correct answer:

40 cm $\displaystyle 40 cm$

Explanation:

Because the problem asks you to find the perimeter, you are looking for the total distance around the outside of the shape. The problem also tells you that the figure is a square, so you know that all the sides are 10 cm. Adding all four sides gives the perimeter:

$10 \: cm + 10 \: cm + 10 \: cm + 10\: cm = 40\: cm$ $\displaystyle 10 \: cm + 10 \: cm + 10 \: cm + 10\: cm = 40\: cm$

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Example Question #37 : Plane Geometry

If the perimeter of a square is $\displaystyle 25$ , what is the length of each side?

Round your answer to the nearest whole number.

Possible Answers:

$\displaystyle 7$

$\displaystyle 4$

$\displaystyle 8$

$\displaystyle 6$

$\displaystyle 5$

Correct answer:

$\displaystyle 6$

Explanation:

Since all four sides of a square have the same length, we can multiply the length by $\displaystyle 4$ to find the perimeter:

$P = 4\times l$ $\displaystyle P = 4\times l$

Plug in the perimeter and solve for the unkown length:

$25 = 4 \times l \Rightarrow l = \frac{25}{4} \Rightarrow l = 6.25$ $\displaystyle 25 = 4 \times l \Rightarrow l = \frac{25}{4} \Rightarrow l = 6.25$

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All SSAT Elementary Level Math Resources

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SSAT Elementary Level Math : Geometry

Study concepts, example questions & explanations for SSAT Elementary Level Math

All SSAT Elementary Level Math Resources

Example Questions

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

Example Question #31 : Geometry

Example Question #6 : How To Find The Perimeter Of A Square

Example Question #32 : Geometry

Example Question #33 : Geometry

Example Question #5193 : Ssat Elementary Level Quantitative (Math)

Example Question #5194 : Ssat Elementary Level Quantitative (Math)

Example Question #11 : How To Find The Perimeter Of A Square

Example Question #34 : Geometry

Example Question #37 : Plane Geometry

All SSAT Elementary Level Math Resources

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