SSAT Elementary Level Math : Rectangles

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

varsity tutors app store varsity tutors android store

Example Questions

Example Question #233 : Geometry

Joe has a piece of wallpaper that is \(\displaystyle 8ft\) by \(\displaystyle 7ft\). How much of a wall can be covered by this piece of wallpaper?

 

Possible Answers:

\(\displaystyle 60ft^2\)

\(\displaystyle 59ft^2\)

\(\displaystyle 58ft^2\)

\(\displaystyle 56ft^2\)

\(\displaystyle 57ft^2\)

Correct answer:

\(\displaystyle 56ft^2\)

Explanation:

This problem asks us to calculate the amount of space that the wallpaper will cover. The amount of space that something covers can be described as its area. In this case area is calculated by using the formula \(\displaystyle A=l \times w\)

\(\displaystyle A=8\times7\)

\(\displaystyle A=56ft^2\)

Example Question #234 : Geometry

Joe has a piece of wallpaper that is \(\displaystyle 10ft\) by \(\displaystyle 8ft\). How much of a wall can be covered by this piece of wallpaper?

 

Possible Answers:

\(\displaystyle 76ft^2\)

\(\displaystyle 79ft^2\)

\(\displaystyle 77ft^2\)

\(\displaystyle 78ft^2\)

\(\displaystyle 80ft^2\)

Correct answer:

\(\displaystyle 80ft^2\)

Explanation:

This problem asks us to calculate the amount of space that the wallpaper will cover. The amount of space that something covers can be described as its area. In this case area is calculated by using the formula \(\displaystyle A=l \times w\)

\(\displaystyle A=10\times8\)

\(\displaystyle A=80ft^2\)

Example Question #235 : Geometry

Joe has a piece of wallpaper that is \(\displaystyle 9ft\) by \(\displaystyle 5ft\). How much of a wall can be covered by this piece of wallpaper?

 

Possible Answers:

\(\displaystyle 43ft^2\)

\(\displaystyle 44ft^2\)

\(\displaystyle 42ft^2\)

\(\displaystyle 45ft^2\)

\(\displaystyle 46ft^2\)

Correct answer:

\(\displaystyle 45ft^2\)

Explanation:

This problem asks us to calculate the amount of space that the wallpaper will cover. The amount of space that something covers can be described as its area. In this case area is calculated by using the formula \(\displaystyle A=l \times w\)

\(\displaystyle A=9\times5\)

\(\displaystyle A=45ft^2\)

Example Question #236 : Geometry

Joe has a piece of wallpaper that is \(\displaystyle 5ft\) by \(\displaystyle 2ft\). How much of a wall can be covered by this piece of wallpaper?

 

Possible Answers:

\(\displaystyle 11ft^2\)

\(\displaystyle 12ft^2\)

\(\displaystyle 9ft^2\)

\(\displaystyle 8ft^2\)

\(\displaystyle 10ft^2\)

Correct answer:

\(\displaystyle 10ft^2\)

Explanation:

This problem asks us to calculate the amount of space that the wallpaper will cover. The amount of space that something covers can be described as its area. In this case area is calculated by using the formula \(\displaystyle A=l \times w\)

\(\displaystyle A=5\times2\)

\(\displaystyle A=10ft^2\)

Example Question #221 : Parallelograms

Joe has a piece of wallpaper that is \(\displaystyle 7ft\) by \(\displaystyle 2ft\). How much of a wall can be covered by this piece of wallpaper?

 

Possible Answers:

\(\displaystyle 18ft^2\)

\(\displaystyle 15ft^2\)

\(\displaystyle 14ft^2\)

\(\displaystyle 16ft^2\)

\(\displaystyle 17ft^2\)

Correct answer:

\(\displaystyle 14ft^2\)

Explanation:

This problem asks us to calculate the amount of space that the wallpaper will cover. The amount of space that something covers can be described as its area. In this case area is calculated by using the formula \(\displaystyle A=l \times w\)

\(\displaystyle A=7\times2\)

\(\displaystyle A=14ft^2\)

Example Question #222 : Parallelograms

Joe has a piece of wallpaper that is \(\displaystyle 9ft\) by \(\displaystyle 6ft\). How much of a wall can be covered by this piece of wallpaper?

 

Possible Answers:

\(\displaystyle 54ft^2\)

\(\displaystyle 55ft^2\)

\(\displaystyle 53ft^2\)

\(\displaystyle 57ft^2\)

\(\displaystyle 56ft^2\)

Correct answer:

\(\displaystyle 54ft^2\)

Explanation:

This problem asks us to calculate the amount of space that the wallpaper will cover. The amount of space that something covers can be described as its area. In this case area is calculated by using the formula \(\displaystyle A=l \times w\)

\(\displaystyle A=9\times6\)

\(\displaystyle A=54ft^2\)

Example Question #223 : Parallelograms

Joe has a piece of wallpaper that is \(\displaystyle 5ft\) by \(\displaystyle 3ft\). How much of a wall can be covered by this piece of wallpaper?

 

Possible Answers:

\(\displaystyle 15ft^2\)

\(\displaystyle 13ft^2\)

\(\displaystyle 16ft^2\)

\(\displaystyle 17ft^2\)

\(\displaystyle 14ft^2\)

Correct answer:

\(\displaystyle 15ft^2\)

Explanation:

This problem asks us to calculate the amount of space that the wallpaper will cover. The amount of space that something covers can be described as its area. In this case area is calculated by using the formula \(\displaystyle A=l \times w\)

\(\displaystyle A=5\times3\)

\(\displaystyle A=15ft^2\)

Example Question #224 : Parallelograms

Joe has a piece of wallpaper that is \(\displaystyle 9ft\) by \(\displaystyle 7ft\). How much of a wall can be covered by this piece of wallpaper?

 

Possible Answers:

\(\displaystyle 65ft^2\)

\(\displaystyle 66ft^2\)

\(\displaystyle 64ft^2\)

\(\displaystyle 63ft^2\)

\(\displaystyle 67ft^2\)

Correct answer:

\(\displaystyle 63ft^2\)

Explanation:

This problem asks us to calculate the amount of space that the wallpaper will cover. The amount of space that something covers can be described as its area. In this case area is calculated by using the formula \(\displaystyle A=l \times w\)

\(\displaystyle A=9\times7\)

\(\displaystyle A=63ft^2\)

Example Question #10 : Use Rectangles And Circles To Show Halves And Fourths: Ccss.Math.Content.1.G.A.3

If we have two rectangles of the same size, and we cut one of them in half, and one of them in fourths, which pieces will be smaller?

Screen shot 2015 07 21 at 3.42.11 pm Screen shot 2015 07 21 at 3.50.38 pm

Possible Answers:

They will both have pieces of the same size

The rectangle that we cut into half

The rectangle that we cut into fourths
    

They will both have pieces of bigger sizes than the original rectangles

Correct answer:

The rectangle that we cut into fourths
    

Explanation:

Cutting an object into four pieces makes the pieces smaller because a fourth is smaller than a half. 

Example Question #205 : Rectangles

Find the area of the rectangle shown below:

Screen shot 2015 11 03 at 3.04.08 pm

Possible Answers:

\(\displaystyle 19\)

\(\displaystyle 84\)

\(\displaystyle 72\)

\(\displaystyle 78\)

\(\displaystyle 38\)

Correct answer:

\(\displaystyle 78\)

Explanation:

The formula for area of a rectangle is length times width. The length of this rectangle is \(\displaystyle 13\) and the width is \(\displaystyle 6\)\(\displaystyle 13\times6=78\).

Because multiplication does not change when the order is changed, you could set the length as \(\displaystyle 6\) and the width as \(\displaystyle 13\). The answer is the same either way. 

Learning Tools by Varsity Tutors