SOLUTION: A rectangular garden is 5 ft longer than it is wide. Its area is 3900 ft 2 . What are its dimensions? W= L=

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Question 1154191: A rectangular garden is 5 ft longer than it is wide. Its area is 3900
ft
2
. What are its dimensions?
W=

L=

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

if a rectangular garden is 5ft longer than it is wide, we have
L=+W%2B5ft....eq.1
if its area is 3900+ ft^2, we have
L%2AW=3900ft%5E2+.....substitute L from eq.1
%28W%2B5%29%2AW=3900+
W%5E2%2B5W=3900+
W%5E2%2B5W-3900+=0....factor
W%5E2-60W%2B65W-3900+=0
%28W%5E2-60W%29%2B%2865W-3900%29+=0
W%28W-60%29%2B65%28W-60%29+=0
%28W+-+60%29+%28W+%2B+65%29+=+0
use only positive solution: W+=60 ft

go to:
L=+W%2B5....substitute W
L=+65 ft

its dimensions are:
W=+60ft

L=+65ft