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. ginger is using the zero product property to solve the equation (6 x)(9 x) = 88. what does the value of x in her solutions represent? one possible length and one possible width two possible amounts for the widths two possible amounts for the lengths two possible amounts by which the dimensions were changed

Question

contestada

Respuesta :

MrRoyal MrRoyal · Answer 1 · 2022-05-30T11:07:03+02:00

The possible value of x is 2, and the possible dimensions are 8 ft by 11 ft

The equation is given as:

(6 + x) * (9 + x) = 88

Express 88 as a product of two factors

(6 + x) * (9 + x) = 8 * 11

Express 8 and 11 as a sum

(6 + x) * (9 + x) = (6 + 2) * (9 + 2)

By comparison, we have:

6 + x = 6 + 2

9 + x = 9 + 2

This means that

x = 2

So, we have:

The possible value of x is 2, and the possible dimensions are 8 ft by 11 ft