Question

area rectangular pathway is 350 m and it's perimeter pathway is 90 m .What is length of the pathway

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Answer 1

we assume that the pathway is rectangular, with some length 'l' and some width 'w'

the area is then "A=lw" and the perimeter is "P=2l+2w"

this gives this system of equations:

350=lw, so that l=350/w

90=2l+2w

we substitute '350/w' for 'l' and solve for 'w':

90=2(350/w)+2w

and find that 'w' can be either '35' or '10'

this gives two possibilities for 'l':

l=350/35 = 10

l=350/10 = 35

Since this is a pathway, it makes sense that the width is the smaller dimension, giving a width of 10m and a length of 35m