Answer:
15/2 x^2y - 5xy
Step-by-step explanation:
First find the area of the rectangle
A = l*w
= 5xy * 2x
10x^2y
The find the area of the triangle
A = 1/2 bh
= 1/2 (5xy) (x+2)
= 1/2((5x^2y + 10xy)
= 5/2 x^2y +5xy
The shaded region is the area of the rectangle minus the area of the triangle
10x^2y - (5/2 x^2y +5xy)
Distribute the minus sign
10x^2y -5/2 x^2y -5xy
Combining like terms by getting a common denominator
20/2x^2y -5/2 x^2y -5xy
15/2 x^2y - 5xy
