Write an algebraic expression to represent the area of the shaded region.

Mathematics

1 answer:

tamaranim1 [39]3 years ago

7 0

Answer:

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:

Each pair of vertices can be one of the diagonals. Then the missing point will be found at the coordinates that are the sum of those, less the coordinates of the third point.

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_____

For a lot of parallelogram problems I find it easiest to work with the fact that the diagonals bisect each other. This means they both have the same midpoint, so for quadrilateral ABCD, we have (A+C)/2 = (B+D)/2. Multiplying this by 2 gives the equation we used above, A+C = B+D, so D=A+C-B. Remember, in ABCD, AC and BD are the diagonals.