Question

A rectangular garden has a length of x + 2 ft. and a width of x + 8 ft. What must x be in order for the garden to have an area of 91 sq. ft.?

Answer 1

x=5

Explanation:

5+2=7

5+8=13

13*7=91

Answer 2

Answer: 5 ft

Explanation:

Our equation can be (x + 8)(x + 2) = 91. Now we solve:

(x + 8)(x + 2) = 91

x^2 + 2x + 8x + 16 = 91 expand

x^2 + 10x + 16 = 91 simplify

x^2 + 10x - 75 = 0 subtract 91 from both sides

(x + 15)(x - 5) = 0 factor

x + 15 = 0 x - 5 = 0

x
`\\eq \\` -15 x = 5

x can't equal -15 because you cannot have negative feet, so x = 5 feet