SOLUTION: Crafts. A solar collector is 2.5m long by 2.0m wide. It is held in place by a frame of uniform width around its outside edge. If the exposed collector area is 2.5m^2, what is the w

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Question 78381: Crafts. A solar collector is 2.5m long by 2.0m wide. It is held in place by a frame of uniform width around its outside edge. If the exposed collector area is 2.5m^2, what is the width of the frame, to the nearest tenth of a centimeter?
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
(2.5-2X)(2.0-2X)=2.5
5-4X-5X+4X^2=2.5
4X^2-9X+5-2.5=0
4X^2-9X+2.5=0
USING THE QUADRATIC EQUATIION WE GET:
X=(9+-SQRT[-9^2-4*4*2.5])/2*4
X=(9+-SQRT[81-40])/8
X=(9+-SQRT41)/8
X=(9+-6.4)/8
X=(9+6.4)/8
X=15.4/8
X=1.925 NON ANSWER.
X=(9-6.4)/8
X=2.6/8
X=.325 m. ANSWER.
PROOF
(2.5-2*.325)(2-2*.325)=2.5
(2.5-.65)(2-.65)=2.5
(1.85)(1.35)=2.5
2.5=2.5