Question

Write a polynomial in standard form that represents the area of the shaded region.

Answer 1

x^2+11x+30

Explanation:

Since rectangles have the same length on opposite sides, The shaded area is just two congruent triangles.

A= 1/2bh

2A= 2(1/2(x+6)(x+5))

2A= (x+6)(x+5)

2A= x^2 +5x +6x+ 30

2A= x^2 +11x +30

Shaded area= x^2 +11x +30