Question

Write an expression to find area of the shaded region in the given figure...

Answer 1

`\huge \boxed{{10x^2 + 12x \mathrm{\ units^2 }} }`

Explanation:

area of shaded region = area of whole rectangle - area of unshaded region

Area of a rectangle is length × width.

A = 5x(3x+2) - (x(5x-2))

Expand brackets.

A = 15x² + 10x -(5x² - 2x)

Distribute negative sign.

A = 15x² + 10x - 5x² + 2x

Combine like terms.

A = 10x² + 12x