One side of a rectangle is (2x-3) metres. The perimeter of the rectangle is 50 metres and the area of the rectangle is 126m^2

Question

Show that x satisfies the equation 2x²-31x+105=0

Answer 1

Call 2x - 3 the width, then the length = 28-2x

The area is (2x-3)(28-2x)=126.

If you multiply and collect terms, I think you should get the answer.