surface area of rectangular board is length * width
l = length
w = length - 9 = l - 9
area = 112
112 = l * (l-9)
112 = l^2 - 9l
l^2 - 9l - 112 = 0
(l - 16)(l + 7) = 0
l = 16
w = l - 9 = 7
Sloane S.
asked 02/19/22A designer is creating a rectangular travel board game. The width of the board is to be 9 inches shorter than the length. If the surface area of the board will be 112 square inches, what will be the length, in inches, of the board?
surface area of rectangular board is length * width
l = length
w = length - 9 = l - 9
area = 112
112 = l * (l-9)
112 = l^2 - 9l
l^2 - 9l - 112 = 0
(l - 16)(l + 7) = 0
l = 16
w = l - 9 = 7
Mark M. answered 02/19/22
Mathematics Teacher - NCLB Highly Qualified
112 = x(x - 9)
Can you solve for x and answer?
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