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The area of a rectangular playground is 16 1/5 square feet. The width of of the playground measures 7 1/4 feet. What is the length of the playground

User Amdex
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The area of a rectangular playground is 16 1/5 square feet. The width of of the playground measures 7 1/4 feet. What is the length of the playground

we know that

the area of a rectangle is equal to

A=L*W

where

L is the length and W is the width

In this problem we have

A=16 1/5 ft^2

W=7 1/4 ft

so

Convert mixed number to an improper fractions first

A=16 1/5=16+1/5=81/5 ft^2

W=7 1/4=7+1/4=29/4 ft

substitute the given values in the formula

81/5=L*(29/4)

solve for L

Multiply both sides by 20

4*81=L*29*5

324=145*L

L=324/145 ft

Convert to mixed number

324/145=290/145+34/145=2+34/145=2 34/145

therefore

the nswer is

The length is 2 34/145 ft

User Johannah
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