Problema Solution

The width of a rectangle is half the length. Find the width and length if the perimeter is 126 m.

Answer provided by our tutors

let


w = the width of the rectangle


l = the length of the rectangle


P = 125 m the perimeter of the rectangle


the width of a rectangle is half the length:


w = l/2


the perimeter P = 2(l + w):


2(l + w) = 125


by solving the system of equations:


w = l/2


2(l + w) = 125


we find:


l = 125/3 in


w = 125/6 in


l = 41.67 in


w = 20.83 in


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the width is 20.83 in and the length is 41.67 in.