What happens to the area of a parallelogram when you double the height and the base?

The area becomes 4 times greater.

Step-by-step explanation:

Whatever you do to all the linear measurements (such as length, width, height, base), the change in the area is the square of that.

If you double the height and base, that means you multiplied the height and base by 2, so the area increases by a factor of the square of 2. 2^2 = 4. The area is 4 times greater.

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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