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Create an equation to solve the problem.

p=2l=2w

l=3w+6

the perimeter is 124. We substitute 124 for p and 3w+6 for l to reach the following solvable equation

124=2(3w+6)+2w

124=6w+12+2w (distribute the 2 over 3w+6)

124=8w+12 (combine like terms)

124-12=8w+12-12 (subtract 12 from both sides to isolate the variable w)

112=8w (combine like terms again)

112/8=8w/8 (divide both sides by 8 to isolate w)

14=w

We now know the width is 14 feet. We then substitute that value for w in the equation we wrote for the value of l

l=3w+6

l=3*14+6

l=42+6

l=48

The length is 48 feet. We can now substitute both values into the equation for perimeter to check our answer.

p=2w+2l

124=(2*14)+(2*48)

124=28+96

124=124

The result is true, so the result is correct.

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