Question

Please help!

The area of a rectangle is 240 square meters. Find the length and the width of the rectangle, if the length is 8 meters longer than the width.

Answer 1

Length :20m Width: 12m

Answer 2

Let the width=x mtr

So the length will be x+8 mtr

so the are of the rectangle will be=x(x+8)=240

x²+8x=240

x²+8x-240=0

x²+20x-12x-240=0

x(x+20)-12(x+20)=0

(x+20)(x-12)=0

x-12=0 i.e x=12 mtr

so the length=12+8=20 mtr