Collin is building a deck on the back of his house. He has enough lumber for the deck to be 144 square feet. The length should b
e 10 feet more than its width.
What should the dimensions of the deck be?
1 answer:
Width = x
length = x+10
Area of deck = 144 square feet
Area = length * width
144 = x(x+10)
Solving for x in a quadratic:
x²+10x = 144
x²+10x-144 = 0
Factor:
(x+18)(x-8) = 0
Solving for x:
x = 8, x = -18
Dimensions cannot be negative, therefore x = 8, only.
Length = x + 10
Length = 18
Width = 8
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