SOLUTION: The length of a rectangle is 1 cm. more than twice the width. if the length of the rectangle is decreased by 2 cm and the width is decreased by 1 cm, the perimeter is 20cm. find th

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Question 913001: The length of a rectangle is 1 cm. more than twice the width. if the length of the rectangle is decreased by 2 cm and the width is decreased by 1 cm, the perimeter is 20cm. find the length and width of the original rectangle?
Answer by lwsshak3(11628) About Me  (Show Source):
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The length of a rectangle is 1 cm. more than twice the width. if the length of the rectangle is decreased by 2 cm and the width is decreased by 1 cm, the perimeter is 20cm. find the length and width of the original rectangle?
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let x=width of original triangle
2x+1=length of original triangle
2(width-length)=perimeter
...
x-1=width of smaller triangle
2x+1-2=2x-1=length of smaller triangle
2(x-1+2x-1)=20
2(3x-2)=20
3x-2=10
3x=12
x=4
2x+1=8+1=9
width of original triangle=4 cm
length of original triangle=9 cm