Problema Solution

the length of a rectangular piece of land is 9cm more than three times its width the perimeter is 418cm 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


P = 418 cm the perimeter


The length of a rectangular piece of land is 9 cm more than three times it's width:


l = 9 + 3w


The perimeter is 418 cm:


2(l + w) = 418


We have the following system of equations:


l = 9 + 3w


2(l + w) = 418

........


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........

l = 159 cm


w = 50 cm


The dimensions of the rectangular piece of land is: the length is 159 cm and the width is 50 cm.