SOLUTION: 1. Find the demensions of a rectangle whose perimeter is 50m and whose area is 144 m2.

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Question 194162This question is from textbook Find Algebra and Trigonometry: Structure and Method (2nd)
: 1. Find the demensions of a rectangle whose perimeter is 50m and whose area is 144 m2. This question is from textbook Find Algebra and Trigonometry: Structure and Method (2nd)

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
LW=144 OR L=144/W
2L+2W=50
2(144/W)+2W=50
288/W+2W=50
(288+2W*W)/W=50
(288+2W^2)/W=50
2W^2+288=50W
2W^2-50W+288=0
2(W^2-25W+144)=0
2(W-16)(W-9)=0
W-16=0
W=16 ANS. L=9 ANS
W-9=0
W=9 ANS. L=16 ANS.
PROOF:
2*16+2*9=50
32+18=50
50=50