What is the area of this irregular figure?

Step-by-step explanation:

This figure is made up of  rectangle and a parallelogram

The area of a rectangle is:

And the area the parallelogram is it's height times length. The height of the parallelogram is , and it's length is

Therefore the area of the parallelogram is:

Together the area of the irregular shape is

Which is our answer.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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