SOLUTION: the area of a rectangle is 6 times the area of a square if the rectangle is 22 inches long and the width of the rectangle is the same as the length of a side of the square find the

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Question 1009007: the area of a rectangle is 6 times the area of a square if the rectangle is 22 inches long and the width of the rectangle is the same as the length of a side of the square find the length of a side of the square
Found 2 solutions by josmiceli, josgarithmetic:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = the side of the square in inches
+s%5E2+ = the area of the square in in2
+s+ = the width of the rectangle in inches
+22s+ = the area of the rectangle in in2
-------------------------------------
+22s+=+6%2As%5E2+
Divide both sides by +s+
+22+=+6s+
+s+=+22%2F6+
+s+=+3.667+
The side of the square is 3.667 in

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
w and L, dimensions of the rectangle;
x, side length of a square;
Translating the description----------system%28wL=6%2Ax%5E2%2CL=22%2Cw=x%29

The question means, to solve for x.

wL=6x%5E2
w%2A22=6x%5E2
x%2A22=6x%5E2
6x%5E2-22x=0
3x%5E2-11x=0
x%283x-11%29=0

3x-11=0
3x=11
highlight%28x=11%2F3%29

The other solution, x=0, is meaningless.