SOLUTION: The side of a square equals the length of a rectangle. The width of the rectangle is 4 meters longer than its length. The sum of the ares of the square and the rectangle is 240 squ

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Question 249624: The side of a square equals the length of a rectangle. The width of the rectangle is 4 meters longer than its length. The sum of the ares of the square and the rectangle is 240 square centimeters. Find the side of the square.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
SQUARE AREA=X^2
RECTANGLE AREA=LW
L=X
W=L+4
L^2+L(L+4)=240
L^2+L^2+4L-240=0
2L^2+4L-240=0
2(L^2+2L-120)=0
2(L+12)(L-10)=0
L-10=0
L=10 LENGTH OF THE SIDES OF THE SQUARE.
AREA OF THE SQUARE=10^1=100
W=10+4=14 IS THE WIDTH OF THE RECTANGLE.
AREA OF THE RECTANGLE=10*14=140
PROOF:
10^2+10*14=240
100+140=240
240=240