word problem

Question

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?

Answer 1

Area to be covered with grass = total area - area of pool and patio

 

                                                      = (3x - 5)(4x - 10) - (x + 8)(x - 2)

 

                                                      = 12x²-30x-20x+50-x²+2x-8x+16

 

                                                      = 11x² - 56x + 66