Question

Find the area of the shaded region for the given figure in terms of x.

X-1
X + 2
X-1
X + 2

Answer 1

Area of the shaded region = (6x + 3)

Explanation:

Area of the shaded region = Area of the large rectangle - Area of the small rectangle

Area of the large rectangle = Length × Width

= (x + 2)(x + 2)

= (x + 2)²

= x² + 4x + 4

Area of the small rectangle = (x - 1)(x - 1)

= (x - 1)²

= x² - 2x + 1

Area of the shaded region = (x² + 4x + 4) - (x² - 2x + 1)

= 6x + 3

Area of the shaded region = (6x + 3)