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the length of a rectangle is 5 inches less than three times the width. if the perimeter is 86 inches, find the length and the width

User Holygeek
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1 Answer

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To start, you need to define the variables

y-length

x-width

Then write the equation that describe the given situation

y=3x-5 (Eq1)

2x+2y=86 (Eq2)

Clear y from Equation 2

2y=86-2x

y=(86-2x)/2

y=43-x (Eq3)

Equalize equation 1 and 3

3x-5=43-x

Solve x

3x+x=43+5

4x=48

x=48/4

x=12

Use equation 3 to find y

y=43-x

y=43-12

y=31

The length is 31 inches and the width is 12 inches

User Adam Lerman
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