Problema Solution

the perimeter of a rectangular piece of poster board is 96in. the length is 8in. greater than the width. find the width and the length

Answer provided by our tutors

let


w = the width, w>0


l = the length, l>0


P = 96 in the perimeter


the length is 8in. greater than the width:


l = w + 8


the perimeter = 2(l + w) thus:


2(l + w) = 96 divide both sides by 2


l + w = 48


by solving the system of equations:


l = w + 8


l + w = 48


we find:


l = 28 in


w = 20 in


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the length is 28 inches.


the width if 20 inches.