SSAT Elementary Level Math : Geometry

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

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Example Questions

Example Question #441 : Geometry

Bdaycake

A rectangular birthday cake (shown above) measures 8 inches by 12 inches. What is the perimeter of the cake?

Possible Answers:

\(\displaystyle 20\ in\)

\(\displaystyle 96\ in\)

\(\displaystyle 40\ in\)

\(\displaystyle 32\ in\)

Correct answer:

\(\displaystyle 40\ in\)

Explanation:

\(\displaystyle Perimeter\; of\;a\;rectangle=length+length+width+width= 2l +2w\)

\(\displaystyle Perimeter= 12+12+8+8= 2(12) +2(8)=24+16=40\)

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

Screen_shot_2014-01-02_at_10.15.24_pm

What is the perimeter of the above rectangle?

Possible Answers:

\(\displaystyle 3\)

\(\displaystyle 12\)

\(\displaystyle 30\)

\(\displaystyle 36\)

\(\displaystyle 33\)

Correct answer:

\(\displaystyle 30\)

Explanation:

To find the perimeter of this rectangle, add all four sides together. Even though we are not given the length of all four sides, we know that opposite sides are always equal. 

\(\displaystyle 12 + 3 + 12 + 3 = 30\)

Example Question #5 : How To Find The Perimeter Of A Rectangle

A rectangular table can seat \(\displaystyle 4\) people on each of its longer sides and \(\displaystyle 2\) people on each of its shorter sides.

How many people are at the table when all the seats are filled?

Possible Answers:

\(\displaystyle 12\) people

\(\displaystyle 10\) people

\(\displaystyle 6\) people

\(\displaystyle 8\) people

\(\displaystyle 16\) people

Correct answer:

\(\displaystyle 12\) people

Explanation:

Since a rectangle has two pairs of equal-length sides, multiply the number of people that can sit on each side by \(\displaystyle 2\), then add these numbers together to find the total number of people that can sit at the table.

\(\displaystyle (2\times4) + (2\times 2) = 8 + 4 = 12\) people

Example Question #381 : Rectangles

If Elijah draws a rectangle with a long side of 9 cm and a short side of 3 cm, what is the perimeter of the rectangle? 

Possible Answers:

32 cm

24 cm

28 cm

27 cm

Correct answer:

24 cm

Explanation:

To find the perimeter of a rectangle, add all four sides:

\(\displaystyle 9\: cm+9\: cm+3\: cm+3\: cm=24\: cm\)

Example Question #381 : Rectangles

Screen_shot_2014-02-12_at_9.31.18_pm

What is the perimeter of the above rectangle?

Possible Answers:

\(\displaystyle 75\)

\(\displaystyle 35\)

\(\displaystyle 46\)

\(\displaystyle 12\)

\(\displaystyle 24\)

Correct answer:

\(\displaystyle 24\)

Explanation:

To find the perimeter of this rectangle, add all four sides together. Even though we are not given the length of all four sides, we know that opposite sides of a rectangle are always equal!

\(\displaystyle 7 + 5 + 7 + 5 = 24\)

Example Question #1 : How To Find The Perimeter Of A Rectangle

What is the PERIMETER of the rectangle in the image?

Possible Answers:

300 cm

90 cm

80 cm

40 cm

40 cm

Correct answer:

80 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 rectangle, so you know that all the sides are 10 cm and 30 cm. Adding all four sides gives the perimeter: \(\displaystyle 10 \: cm + 10 \: cm + 30 \: cm + 30 \: cm = 80\: cm\)

Example Question #2 : How To Find The Perimeter Of A Rectangle

Screen_shot_2014-03-04_at_9.28.42_pm

What is the perimeter of the rectangle?

Possible Answers:

\(\displaystyle 97\)

\(\displaystyle 27\)

\(\displaystyle 32\)

\(\displaystyle 24\)

\(\displaystyle 19\)

Correct answer:

\(\displaystyle 24\)

Explanation:

To find the perimeter of a rectangle, add all four sides together.

\(\displaystyle 9 + 9 + 3 + 3 = 24\)

Example Question #383 : Rectangles

Screen_shot_2014-03-16_at_5.20.52_pm

What is the perimeter of the rectangle?

Possible Answers:

\(\displaystyle 36\)

\(\displaystyle 53\)

\(\displaystyle 65\)

\(\displaystyle 24\)

\(\displaystyle 41\)

Correct answer:

\(\displaystyle 36\)

Explanation:

To find the perimeter of this rectangle, add all four sides together. Even though we are not given the length of all four sides, we know that opposites sides of a rectangle are always equal.

\(\displaystyle 13 + 5 + 13 + 5 = 36\)

 

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

Rectangle

Give the perimeter of the rectangle in millimeters.

Possible Answers:

\(\displaystyle 10,000 \textrm{ mm}\)

\(\displaystyle 1,400 \textrm{ mm}\)

\(\displaystyle 7,000 \textrm{ mm}\)

\(\displaystyle 1,000 \textrm{ mm}\)

\(\displaystyle 14,000 \textrm{ mm}\)

Correct answer:

\(\displaystyle 14,000 \textrm{ mm}\)

Explanation:

Use the following formula for the perimeter, substituting the two side lengths, \(\displaystyle L = 5, W = 2\) :

\(\displaystyle P = 2 (L + W)\)

\(\displaystyle P= 2 (5 + 2)= 2 \times 7 = 14 \textrm{ m}\)

Since there are 1,000 millimeters in 1 meter, multiply the answer by 1,000:

\(\displaystyle 14 \times 1,000 = 14,000 \textrm{ mm}\)

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

Screen_shot_2013-12-23_at_8.09.23_pm

What is the perimeter of the rectangle?

Possible Answers:

\(\displaystyle 22\)

\(\displaystyle 18\)

\(\displaystyle 5\)

\(\displaystyle 24\)

\(\displaystyle 38\)

Correct answer:

\(\displaystyle 22\)

Explanation:

To find the perimeter of this rectangle, add all four sides together. Even though we are not given the length of all four sides, we know that opposite sides of a rectangle are always equal.

\(\displaystyle 8+3+8+3=22\)

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