Question

7) Find the area of the shaded region:

Answer 1

Answer:

B

Step-by-step explanation:

The area of the biggest rectangle =

$(9x - 2)(2x + 7) = 18 {x}^{2} + 63x - 4x - 14 = 18 {x}^{2} + 59x - 14$

The area of the of the smallest rectangle inside=

$3x(x + 12) = 3 {x }^{2} + 36x$

Then the area of the shaded region =

$18 {x}^{2} + 59x - 14 - (3 {x}^{2} + 36x) = 18 {x}^{2} + 59x - 14 - 3 {x}^{2} - 36x = 15 {x}^{2} + 23x - 14$

So, we choose B.