Arectangular patio is 9 ft by 6 ft. when the length and width are increased by the same amount, the area becomes 88 sq ft. ginger is using the zero product property to solve the equation (6 + x)(9 + x) = 88. what do her solutions represent? a. one possible length and one possible width. b. two possible amounts for the widths. c. two possible amounts for the lengths. d. two possible amounts by which the dimensions were increased.

D. two possible amounts by which the dimensions were increased.

A rectangular patio is 9 ft by 6 ft. When the length and width are increased by the same amount, the area becomes 88 sq ft.

Equation is (6 + x)(9 + x) = 88

Multiply the (6 + x)(9 + x) using FOIL method

(6 + x)(9 + x) =

Equation becomes

Now we make right hand side =0 so that we can solve for x

Factor the left hand side

Use zero product property and solve for x

x+17 =0  and x-2 =0

x = -17  and x= 2. length and width cannot be negative so we ignore -17

x=2. So, length and width are increased by 2

Therefore, two possible amounts by which the dimensions were increased.