Question

Find the area of the shaded region.

Answer 1

3/2x²+28x+130

Explanation:

Area of shaded region = Area of rectangle – Area of triangle

Area of rectangle:

`(2x + 15)(x + 10) = \\2x {}^(2) + 35x + 150`

Area of triangle:

`(1)/(2 ) * (x + 4)(x + 10) = \\ (1)/(2) x {}^(2) + 7x + 20`

then subtract