Question

Tough problem: Aisha bought a rectangular field. The perimeter of

the field is 240m. If the length of the field is increased by 8m and the
width is decreased by 5m, the area is decreased by 42m2

. Find the
length and the width of the field. Hint: If you set things right one of the
equations you get is not actually a linear equation, however it is
solvable.

Answer 1

let W =with of field (M)

L=length of field=(7/5)×W

P=perimeter of field =2×(L+W) =240m

substiting L as fungtion of w in last equation:

2×(7/5)×W+W=240m

(12/5×w=120m

W=(5×+20m)/12=50m

L=(7/5×50m)=70m