Question

Write an

algebraic expression to represent the area of the shaded region:
2y
4y + 3

Answer 1

4y^{2}+3y

Explanation:

First you need to distribute the values.

(4y+3)(2y) Using the "Rainbow Method" to multiply the polynomials

You Should get

8y^{2}+6y

Since this is the area of the rectangle and we need to find the area of the shaded region you need to dived 8y^{2}+6y in half because the shaded region is half of the rectangle.

8y^{2}+6y/2

Doing this you will get

4y^{2}+3y