Problema Solution

The perimeter of a rectangle is 150 m. If the length is 15m less than twice the width, find the dimensions of the rectangle.

Answer provided by our tutors

let


l = the length of the rectangle


w = the width of the rectangle


P = 150 m the perimeter


the perimeter of a rectangle is 150 m:


2(l + w) = 150 divide both sides by 2


l + w = 75


the length is 15m less than twice the width:


l = 2w - 15


by solving the system of equations:


l + w = 75


l = 2w - 15


we find:


l = 45 m


w = 30 m


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the dimensions of the rectangle are: the length is 45 meters and the width is 30 meters.