SSAT Elementary Level Math : Rectangles

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

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Example Questions

Example Question #31 : Rectangles

What portion of the circle is striped? 

Screen shot 2015 07 21 at 4.08.02 pm

Possible Answers:

A fourth of the circle is stripedd

A third of the circle is striped

A fifth of the circle is striped

Half of the circle is striped
 

Correct answer:

Half of the circle is striped
 

Explanation:

The circle is divided into two equal sizes. One side is striped and one side is blue. So half of the circle is striped. 

Example Question #32 : Rectangles

A fourth means the same thing as a ____________

Possible Answers:

 Third

Quarter
    

Fifth

Fourth

Correct answer:

Quarter
    

Explanation:

A fourth and a quarter mean the same thing because both words mean \(\displaystyle 4\) pieces. 

Example Question #5253 : Ssat Elementary Level Quantitative (Math)

Tim's mom wants to put new tiles in their kitchen. She bought enough tiles to fit a \(\displaystyle 420\) square foot room. Tim measures the size of the kitchen and finds that one wall is \(\displaystyle 19\) feet long and the other wall is \(\displaystyle 23\) feet long. Has his mom purchased enough tiles to complete the entire floor in the kitchen? In your answer, include the square footage of the kitchen, according to Tim's measurements.

Possible Answers:

\(\displaystyle \textup{No, the area of the kitchen is 437 square feet}.\)

\(\displaystyle \textup{Yes, the area of the kitchen is 417 square feet.}\)

\(\displaystyle \textup{No, the area of the kitchen is 448 square feet.}\)

\(\displaystyle \textup{Yes, the area of the kitchen is 420 square feet.}\)

\(\displaystyle \textup{Yes, the area of the kitchen is 84 square feet.}\)

Correct answer:

\(\displaystyle \textup{No, the area of the kitchen is 437 square feet}.\)

Explanation:

To find the area of a rectangle, you need to multiply the length times the width.

\(\displaystyle \textup{Area} = \textup{l} \times \textup{w}\)

Tim measured the kitchen and found the two walls to be \(\displaystyle 19\) ft. and \(\displaystyle 23\) ft. To find the area we need to plug those numbers into our formula:

\(\displaystyle \textup{Area} = 19 \times 23\)

\(\displaystyle \textup{Area} = 437 \textup{ square feet}\)

We know that Sam's mother only ordered enough tiles to fill a \(\displaystyle 420\) square foot room, so she does NOT have enough tiles to fill the kitchen.

Example Question #95 : Quadrilaterals

What is the AREA of the rectangle in the figure?Screen_shot_2014-01-31_at_3.59.34_pm

Possible Answers:

\(\displaystyle 80 cm^2\)

\(\displaystyle 40 cm^2\)

\(\displaystyle 300 cm^2\)

\(\displaystyle 150 cm^2\)

\(\displaystyle 30 cm^2\)

Correct answer:

\(\displaystyle 300 cm^2\)

Explanation:

Because the question asks you to find the AREA of the rectangle, you are looking to figure out how much space the rectangle covers. You find the area of rectangle by multiplying the length of the rectangle times the width. So \(\displaystyle A = L \times W\), or \(\displaystyle A = 30 \: cm \times 10 \: cm.\) Therefore the correct answer is \(\displaystyle 300 cm^2\).

Example Question #5255 : Ssat Elementary Level Quantitative (Math)

Find the area of a rectangle with a length of \(\displaystyle 6\) and a width of \(\displaystyle 10\).

Possible Answers:

\(\displaystyle 160\)

\(\displaystyle 60\)

\(\displaystyle 16\)

\(\displaystyle 30\)

\(\displaystyle 26\)

Correct answer:

\(\displaystyle 60\)

Explanation:

Write the area of a rectangle.

\(\displaystyle A= \textup{Length }\times \textup{Width }\)

Substitute the dimensions and solve for the area.

\(\displaystyle A=6\times 10 = 60\)

The area is \(\displaystyle 60\).

Example Question #33 : Rectangles

Find the area of a rectangle whose width is 5 and length is 7.

Possible Answers:

\(\displaystyle 24\)

\(\displaystyle 35\)

\(\displaystyle 11\)

\(\displaystyle 12\)

Correct answer:

\(\displaystyle 35\)

Explanation:

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

\(\displaystyle A=w*l=5*7=35\)

Example Question #34 : Rectangles

Find the area of a rectangle whose width is 2 and length is 11.

Possible Answers:

\(\displaystyle 11\)

\(\displaystyle 13\)

\(\displaystyle 26\)

\(\displaystyle 22\)

Correct answer:

\(\displaystyle 22\)

Explanation:

To find area of a rectangle, simply use the following formula.

\(\displaystyle A=w*l=2*11=22\)

Example Question #141 : Quadrilaterals

What is the length of a rectangular room with an area of \(\displaystyle 56ft^2\) and a width of \(\displaystyle 7ft?\)

Possible Answers:

\(\displaystyle 7ft\)

\(\displaystyle 9ft\)

\(\displaystyle 8ft\)

\(\displaystyle 5ft\)

\(\displaystyle 6ft\)

Correct answer:

\(\displaystyle 8ft\)

Explanation:

\(\displaystyle A=l\times w\)

We have the area and the width, so we can plug those values into our equation and solve for our unknown. 

\(\displaystyle 56=l\times 7\)

\(\displaystyle \frac{56}{7}=\frac{l\times 7}{7}\)

\(\displaystyle 8=l\)

Example Question #61 : Parallelograms

What is the length of a rectangular room with an area of \(\displaystyle 80ft^2\) and a width of \(\displaystyle 8ft?\)

 

Possible Answers:

\(\displaystyle 20ft\)

\(\displaystyle 8ft\)

\(\displaystyle 10ft\)

\(\displaystyle 18ft\)

\(\displaystyle 16ft\)

Correct answer:

\(\displaystyle 10ft\)

Explanation:

\(\displaystyle A=l\times w\)

We have the area and the width, so we can plug those values into our equation and solve for our unknown. 

\(\displaystyle 80=l\times 8\)

\(\displaystyle \frac{80}{8}=\frac{l\times 8}{8}\)

\(\displaystyle 10=l\)

Example Question #142 : Quadrilaterals

What is the length of a rectangular room with an area of \(\displaystyle 100ft^2\) and a width of \(\displaystyle 5ft?\)

 

Possible Answers:

\(\displaystyle 30ft\)

\(\displaystyle 20ft\)

\(\displaystyle 10ft\)

\(\displaystyle 15ft\)

\(\displaystyle 25ft\)

Correct answer:

\(\displaystyle 20ft\)

Explanation:

\(\displaystyle A=l\times w\)

We have the area and the width, so we can plug those values into our equation and solve for our unknown. 

\(\displaystyle 100=l\times 5\)

\(\displaystyle \frac{100}{5}=\frac{l\times 5}{5}\)

\(\displaystyle 20=l\)

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