Problema Solution

The length of a rectangular piece of land is 90 yards more than three times its width. The perimeter is 780 yards. Find its dimensions

Answer provided by our tutors

let


l = the length of the rectangular piece of land


w = the width of the rectangular piece of land


The length of a rectangular piece of land is 90 yards more than three times its width:


l = 90 + 3w


The perimeter is 780 yards:


2(l + w) = 780 divide both sides by 2


l + w = 390


by solving the system of equations:


l = 90 + 3w


l + w = 390


we find:


l = 315 yd


w = 75 yd


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the dimensions of the rectangular yard are: the length is 315 yards and the width is 75 yards.