SOLUTION: a rectangle has a length that is 1m less than twice its width. increasing the width by 3m and decreasing the length by 1m results in a square. find the dimensions of the rectangle.

Question 623373: a rectangle has a length that is 1m less than twice its width. increasing the width by 3m and decreasing the length by 1m results in a square. find the dimensions of the rectangle.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a rectangle has a length that is 1m less than twice its width.
L = 2W-1
:
increasing the width by 3m and decreasing the length by 1m results in a square
Then the length and width will be equal; therefore:
L-1 = W+3
L = W + 3 + 1
L = W + 4
Replace L with (2W-1), find W
2W - 1 = W + 4
2W - W = 4 + 1
W = 5 units is the width
then
2(5) - 1 = 9 units is the length
:
find the dimensions of the rectangle. 9 by 5
:
:
You can check this by finding what the side of the square is
Subtract 1 from 9 and add 3 to 5
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