SSAT Elementary Level Math : Geometry

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

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Example Questions

Example Question #5591 : Ssat Elementary Level Quantitative (Math)

Bdaycake

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

Possible Answers:

\displaystyle 96\ in

\displaystyle 20\ in

\displaystyle 32\ in

\displaystyle 40\ 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 #2 : 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 36

\displaystyle 12

\displaystyle 33

\displaystyle 30

\displaystyle 3

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 #3 : 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 8 people

\displaystyle 6 people

\displaystyle 16 people

\displaystyle 10 people

\displaystyle 12 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 #4 : How To Find The Perimeter Of A Rectangle

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:

28 cm

32 cm

24 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 #5 : How To Find The Perimeter Of A Rectangle

Screen_shot_2014-02-12_at_9.31.18_pm

What is the perimeter of the above rectangle?

Possible Answers:

\displaystyle 12

\displaystyle 24

\displaystyle 75

\displaystyle 46

\displaystyle 35

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 #441 : Geometry

What is the PERIMETER of the rectangle in the image?

Possible Answers:

40 cm

300 cm

80 cm

90 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 #1 : 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 19

\displaystyle 27

\displaystyle 32

\displaystyle 97

\displaystyle 24

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 #441 : Plane Geometry

Screen_shot_2014-03-16_at_5.20.52_pm

What is the perimeter of the rectangle?

Possible Answers:

\displaystyle 36

\displaystyle 53

\displaystyle 24

\displaystyle 41

\displaystyle 65

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 #11 : How To Find The Perimeter Of A Rectangle

Rectangle

Give the perimeter of the rectangle in millimeters.

Possible Answers:

\displaystyle 1,400 \textrm{ mm}

\displaystyle 10,000 \textrm{ mm}

\displaystyle 14,000 \textrm{ mm}

\displaystyle 7,000 \textrm{ mm}

\displaystyle 1,000 \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 #12 : 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 38

\displaystyle 18

\displaystyle 24

\displaystyle 5

\displaystyle 22

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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