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

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

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Example Questions

Example Question #173 : Solve Problems Involving Measurement And Conversion Of Measurements

What is the length of a yard with a perimeter of \displaystyle 24ft and a width of \displaystyle 3ft?

 

Possible Answers:

\displaystyle 8ft

\displaystyle 9ft

\displaystyle 7ft

\displaystyle 11ft

\displaystyle 10ft

Correct answer:

\displaystyle 9ft

Explanation:

\displaystyle P=2l+ 2w

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

\displaystyle 24=2l+2(3)

\displaystyle 24=2l+6

Subtract \displaystyle 6 from both sides

\displaystyle 24-6=2l+6-6

\displaystyle 18=2l

Divide \displaystyle 2 by both sides

\displaystyle \frac{18}{2}=\frac{2l}{2}

\displaystyle 9=l

Example Question #528 : Plane Geometry

What is the length of a yard with a perimeter of \displaystyle 26ft and a width of \displaystyle 5ft?

 

Possible Answers:

\displaystyle 9ft

\displaystyle 8ft

\displaystyle 5ft

\displaystyle 6ft

\displaystyle 7ft

Correct answer:

\displaystyle 8ft

Explanation:

\displaystyle P=2l+ 2w

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

\displaystyle 26=2l+2(5)

\displaystyle 26=2l+10

Subtract \displaystyle 10 from both sides

\displaystyle 26-10=2l+10-10

\displaystyle 16=2l

Divide \displaystyle 2 by both sides

\displaystyle \frac{16}{2}=\frac{2l}{2}

\displaystyle 8=l

Example Question #181 : Solve Problems Involving Measurement And Conversion Of Measurements

What is the length of a yard with a perimeter of \displaystyle 18ft and a width of \displaystyle 3ft?

 

Possible Answers:

\displaystyle 3ft

\displaystyle 6ft

\displaystyle 4ft

\displaystyle 5ft

\displaystyle 2ft

Correct answer:

\displaystyle 6ft

Explanation:

\displaystyle P=2l+ 2w

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

\displaystyle 18=2l+2(3)

\displaystyle 18=2l+6

Subtract \displaystyle 6 from both sides

\displaystyle 18-6=2l+6-6

\displaystyle 12=2l

Divide \displaystyle 2 by both sides

\displaystyle \frac{12}{2}=\frac{2l}{2}

\displaystyle 6=l

Example Question #531 : Plane Geometry

What is the length of a yard with a perimeter of \displaystyle 30ft and a width of \displaystyle 8ft?

 

Possible Answers:

\displaystyle 7ft

\displaystyle 10ft

\displaystyle 9ft

\displaystyle 8ft

\displaystyle 11ft

Correct answer:

\displaystyle 7ft

Explanation:

\displaystyle P=2l+ 2w

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

\displaystyle 30=2l+2(8)

\displaystyle 30=2l+16

Subtract \displaystyle 16 from both sides

\displaystyle 30-16=2l+16-16

\displaystyle 14=2l

Divide \displaystyle 2 by both sides

\displaystyle \frac{14}{2}=\frac{2l}{2}

\displaystyle 7=l

Example Question #121 : How To Find The Area Of A Parallelogram

What is the length of a yard with a perimeter of \displaystyle 36ft and a width of \displaystyle 8ft?

 

Possible Answers:

\displaystyle 11ft

\displaystyle 14ft

\displaystyle 12ft

\displaystyle 10ft

\displaystyle 13ft

Correct answer:

\displaystyle 10ft

Explanation:

\displaystyle P=2l+ 2w

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

\displaystyle 36=2l+2(8)

\displaystyle 36=2l+16

Subtract \displaystyle 16 from both sides

\displaystyle 36-16=2l+16-16

\displaystyle 20=2l

Divide \displaystyle 2 by both sides

\displaystyle \frac{20}{2}=\frac{2l}{2}

\displaystyle 10=l

Example Question #122 : How To Find The Area Of A Parallelogram

What is the length of a yard with a perimeter of \displaystyle 28ft and a width of \displaystyle 5ft?

 

Possible Answers:

\displaystyle 8ft

\displaystyle 12ft

\displaystyle 9ft

\displaystyle 10ft

\displaystyle 11ft

Correct answer:

\displaystyle 9ft

Explanation:

\displaystyle P=2l+ 2w

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

\displaystyle 28=2l+2(5)

\displaystyle 28=2l+10

Subtract \displaystyle 10 from both sides

\displaystyle 28-10=2l+10-10

\displaystyle 18=2l

Divide \displaystyle 2 by both sides

\displaystyle \frac{18}{2}=\frac{2l}{2}

\displaystyle 9=l

Example Question #123 : How To Find The Area Of A Parallelogram

What is the length of a yard with a perimeter of \displaystyle 12ft and a width of \displaystyle 2ft?

 

Possible Answers:

\displaystyle 3ft

\displaystyle 5ft

\displaystyle 6ft

\displaystyle 2ft

\displaystyle 4ft

Correct answer:

\displaystyle 4ft

Explanation:

\displaystyle P=2l+ 2w

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

\displaystyle 12=2l+2(2)

\displaystyle 12=2l+4

Subtract \displaystyle 4 from both sides

\displaystyle 12-4=2l+4-4

\displaystyle 8=2l

Divide \displaystyle 2 by both sides

\displaystyle \frac{8}{2}=\frac{2l}{2}

\displaystyle 4=l

Example Question #124 : How To Find The Area Of A Parallelogram

What is the length of a yard with a perimeter of \displaystyle 18ft and a width of \displaystyle 2ft?

 

Possible Answers:

\displaystyle 7ft

\displaystyle 8ft

\displaystyle 5ft

\displaystyle 6ft

\displaystyle 4ft

Correct answer:

\displaystyle 7ft

Explanation:

\displaystyle P=2l+ 2w

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

\displaystyle 18=2l+2(2)

\displaystyle 18=2l+4

Subtract \displaystyle 4 from both sides

\displaystyle 18-4=2l+4-4

\displaystyle 14=2l

Divide \displaystyle 2 by both sides

\displaystyle \frac{14}{2}=\frac{2l}{2}

\displaystyle 7=l

Example Question #125 : How To Find The Area Of A Parallelogram

What is the length of a yard with a perimeter of \displaystyle 26ft and a width of \displaystyle 4ft?

 

Possible Answers:

\displaystyle 5ft

\displaystyle 6ft

\displaystyle 9ft

\displaystyle 8ft

\displaystyle 7ft

Correct answer:

\displaystyle 9ft

Explanation:

\displaystyle P=2l+ 2w

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

\displaystyle 26=2l+2(4)

\displaystyle 26=2l+8

Subtract \displaystyle 8 from both sides

\displaystyle 26-8=2l+8-8

\displaystyle 18=2l

Divide \displaystyle 2 by both sides

\displaystyle \frac{18}{2}=\frac{2l}{2}

\displaystyle 9=l

Example Question #221 : Measurement & Data

What is the length of a yard with a perimeter of \displaystyle 16ft and a width of \displaystyle 11ft?

 

Possible Answers:

\displaystyle 8ft

\displaystyle 5ft

\displaystyle 7ft

\displaystyle 6ft

\displaystyle 4ft

Correct answer:

\displaystyle 4ft

Explanation:

\displaystyle P=2l+ 2w

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

\displaystyle 16=2l+2(4)

\displaystyle 16=2l+8

Subtract \displaystyle 8 from both sides

\displaystyle 16-8=2l+8-8

\displaystyle 8=2l

Divide \displaystyle 2 by both sides

\displaystyle \frac{8}{2}=\frac{2l}{2}

\displaystyle 4=l

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