Question

the erea of a concrete rectangular pathway is 350 m2 and its perimiter pathway is 90m.what is the length of the pathway

Answer 1

Let length = L m and width = W m. Then:-

LW = 350

2L + 2W = 90

from the above equation:-

L = (90 - 2W) / 2

Substituting for L in the first equation:-

W(90 - 2W) / 2 = 350

90W - 2W^2 = 700

2W^2 - 90W + 700 = 0

(2W - 70)(W - 10) = 0

W = 35 , 10

therefore L = 10, 35

Answer Length = 35m and width = 10 m