Problema Solution

the area of a rectangular field is 162 square meters and its length is twice its width find the dimension of the field

Answer provided by our tutors

let


l = the length of the field, l>0

w = the width of the field, w>0

A = 162 m^2 the area of the field


since A = l*w we have


l*w = 162


its length is twice its width


l = 2w


plug l = 2w into l*w = 162


2w*w = 162


by solving we find


w = 9 m


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l = 2*9


l = 18 m


the dimensions of the field are: the length is 18 meters and the width is 9 meters.