Question 1121742
length(l) = width(w) +10
:
l * w + Area
:
(w+10) * w = 144
:
w^2 +10w -144 = 0
:
(w+18) * (w-8) = 0
:
w = -18 or 8
:
we reject the negative value for w
:
length is 18 feet and width is 8 feet
:
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144 is factored into its prime factors
:
2^4 * 3^2
:
possible dimensions for the deck are
:
length 18 feet and width is 8 feet
:
length 36 feet and width 4 feet
:
length 24 feet and width is 6 feet
:
length is 72 feet and width is 2 feet
:
length is 144 feet and width is 1 foot
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