Question

Find the area of the shaded region .

Answer 1

Area of the shaded region=area of the greater rectangle- area of the inner rectangle.

Area of a rectangle=length x width.

Area of the greater rectangle=(8x-1)(6x)
area of the inner rectangle=(5x+3)(2x)

Area of the shaded region=(8x-1)(6x)-(5x+3)(2x)
=48x²-6x-(10x²+6x)
=48x²-6x-10x²-6x
=38x²-12x

Answer: the area of the shaded region would be: 38x²-12x