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

4y^{2}+3y  

Step-by-step 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

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step-by-step explanation: