Problema Solution

The length of a rectangle is 7 ft longer than twice the width. If the perimeter is 98 ft, find the length and width of the rectangle.

Answer provided by our tutors

let


l = the length of the rectangle


w = the width of the rectangle


the length of a rectangle is 7 ft longer than twice the width:


l = 7 + 2w


the perimeter is 98 ft:


2(l + w) = 98 divide both sides by 2


l + w = 49


by solving the system of equations:


l = 7 + 2w


l + w = 49


we find:


l = 35 ft


w = 14 ft


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the length is 35 ft.


the width is 14 ft.