Asked by Deez

The Johnsons want to cover their backyard with new grass. Their backyard is rectangular, with a length of 3x – 5 feet and a width of 4x – 10 feet. However, their rectangular swimming pool, along with its surrounding patio, has dimensions of x + 8 by x – 2 feet. What is the area of the region of the yard that they want to cover with new grass?

Answers

Answered by mathhelper
Assuming that all but the swimming pool is grass ....
grass area = total area - swimming pool area
= (3x-5)(4x-1) - (x+8)(x-2)
= 12x^2 - 23x + 5 - (x^2 + 6x - 16)
= 11x^2 - 29x + 21
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