SSAT Elementary Level Math : How to find the area of a rectangle

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

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Example Questions

Example Question #131 : How To Find The Area Of A Rectangle

The rectangle is made up of \displaystyle 1in by \displaystyle 1in squares. Use this information to help you solve the problem. 

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How many square inches make up the area of the shape below? 


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Possible Answers:

\displaystyle 18in^2

\displaystyle 21in^2

\displaystyle 17in^2

\displaystyle 19in^2

\displaystyle 20in^2

Correct answer:

\displaystyle 21in^2

Explanation:

We can count the number of squares within the shape to find the area. 

There are \displaystyle 21 squares within the shape, which means the area is \displaystyle 21in^2

*Area is the number of square units inside a shape, which is why area is always written with square units.  

Example Question #132 : How To Find The Area Of A Rectangle

The rectangle is made up of \displaystyle 1in by \displaystyle 1in squares. Use this information to help you solve the problem. 

Screen shot 2015 09 29 at 10.44.22 am

 

How many square inches make up the area of the shape below? 


Screen shot 2015 09 29 at 10.37.56 am

Possible Answers:

\displaystyle 5in^2

\displaystyle 4in^2

\displaystyle 3in^2

\displaystyle 7in^2

\displaystyle 6in^2

Correct answer:

\displaystyle 6in^2

Explanation:

We can count the number of squares within the shape to find the area. 

There are \displaystyle 6 squares within the shape, which means the area is \displaystyle 6in^2

*Area is the number of square units inside a shape, which is why area is always written with square units.  

Example Question #1567 : Common Core Math: Grade 3

The rectangle is made up of \displaystyle 1in by \displaystyle 1in squares. Use this information to help you solve the problem. 

Screen shot 2015 09 29 at 10.44.22 am

How many square inches make up the area of the shape below? 


Screen shot 2015 09 29 at 10.37.42 am

Possible Answers:

\displaystyle 11in^2

\displaystyle 10in^2

\displaystyle 8in^2

\displaystyle 9in^2

\displaystyle 7in^2

Correct answer:

\displaystyle 8in^2

Explanation:

We can count the number of squares within the shape to find the area. 

There are \displaystyle 8 squares within the shape, which means the area is \displaystyle 8in^2

*Area is the number of square units inside a shape, which is why area is always written with square units.  

Example Question #1568 : Common Core Math: Grade 3

The rectangle is made up of \displaystyle 1in by \displaystyle 1in squares. Use this information to help you solve the problem. 

Screen shot 2015 09 29 at 10.44.22 am

 

How many square inches make up the area of the shape below? 


Screen shot 2015 09 29 at 10.37.09 am

Possible Answers:

\displaystyle 14in^2

\displaystyle 15in^2

\displaystyle 17in^2

\displaystyle 16in^2

\displaystyle 13in^2

Correct answer:

\displaystyle 15in^2

Explanation:

We can count the number of squares within the shape to find the area. 

There are \displaystyle 15 squares within the shape, which means the area is \displaystyle 15in^2

*Area is the number of square units inside a shape, which is why area is always written with square units.  

Example Question #1569 : Common Core Math: Grade 3

The rectangle is made up of \displaystyle 1in by \displaystyle 1in squares. Use this information to help you solve the problem. 

Screen shot 2015 09 29 at 10.44.22 am

 

How many square inches make up the area of the shape below? 


Screen shot 2015 09 29 at 10.48.43 am

Possible Answers:

\displaystyle 10in^2

\displaystyle 9in^2

\displaystyle 7in^2

\displaystyle 6in^2

\displaystyle 8in^2

Correct answer:

\displaystyle 10in^2

Explanation:

We can count the number of squares within the shape to find the area. 

There are \displaystyle 10 squares within the shape, which means the area is \displaystyle 10in^2

*Area is the number of square units inside a shape, which is why area is always written with square units.  

Example Question #1570 : Common Core Math: Grade 3

The rectangle is made up of \displaystyle 1in by \displaystyle 1in squares. Use this information to help you solve the problem. 

Screen shot 2015 09 29 at 10.44.22 am

 

How many square inches make up the area of the shape below? 


Screen shot 2015 09 29 at 11.15.17 am

Possible Answers:

\displaystyle 16in^2

\displaystyle 18in^2

\displaystyle 15in^2

\displaystyle 14in^2

\displaystyle 17in^2

Correct answer:

\displaystyle 14in^2

Explanation:

We can count the number of squares within the shape to find the area. 

There are \displaystyle 14 squares within the shape, which means the area is \displaystyle 14in^2

*Area is the number of square units inside a shape, which is why area is always written with square units.  

Example Question #133 : How To Find The Area Of A Rectangle

Find the area of a rectangle with width 4 and length 6.

Possible Answers:

\displaystyle 24

\displaystyle 20

\displaystyle 12

\displaystyle 10

Correct answer:

\displaystyle 24

Explanation:

To solve, simply use the formula for area. Thus,

\displaystyle A=w*l=4*6=24

Many students often envision length the width in a rectangle as dividing the particulr side into so many rows, so they can envision the number of square there would be and count them that way to verify.

Example Question #134 : How To Find The Area Of A Rectangle

Find the area of a rectangle with width 2 and length 3.

Possible Answers:

\displaystyle 5

\displaystyle 6

\displaystyle 10

\displaystyle 3

Correct answer:

\displaystyle 6

Explanation:

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

\displaystyle A=w*l=2*3=6

If the formula doesn't come easily, draw out a picture. Your rectangle will have 2 colums running horizantally and 3 vertically. If you add up the number of squares, it will equal 6 which is your area!

Example Question #135 : How To Find The Area Of A Rectangle

What is the length of a rectangular room with an area of \displaystyle 55ft^2 and a width of \displaystyle 11ft?

Possible Answers:

\displaystyle 6ft

\displaystyle 8ft

\displaystyle 5ft

\displaystyle 9ft

\displaystyle 7ft

Correct answer:

\displaystyle 5ft

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 55=l\times 11

\displaystyle \frac{55}{11}=\frac{l\times 11}{11}

\displaystyle 5=l

Example Question #136 : How To Find The Area Of A Rectangle

What is the length of a rectangular room with an area of \displaystyle 70ft^2 and a width of \displaystyle 7ft?

 

Possible Answers:

\displaystyle 9ft

\displaystyle 11ft

\displaystyle 13ft

\displaystyle 12ft

\displaystyle 10ft

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 70=l\times 7

\displaystyle \frac{70}{7}=\frac{l\times 7}{7}

\displaystyle 10=l

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