SOLUTION: the length of a rectangular sheet of paper is 1 cm more than twice the width and the area of the rectangle is 55 square centimeters. find the dimensions of the rectangular sheet of

Algebra ->  Finance -> SOLUTION: the length of a rectangular sheet of paper is 1 cm more than twice the width and the area of the rectangle is 55 square centimeters. find the dimensions of the rectangular sheet of      Log On


   

Question 1179812: the length of a rectangular sheet of paper is 1 cm more than twice the width and the area of the rectangle is 55 square centimeters. find the dimensions of the rectangular sheet of paper
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Mentally, in a few seconds:

55 = 11*5; 11cm is 1cm more than twice 5cm.

Algebraically....

x = width
2x+1 = length
x%282x%2B1%29=55
2x%5E2%2Bx-55=0
%282x%2B11%29%28x-5%29=0

x = -11/2 or x = 5; obviously the negative solution for the width is nonsense.

ANSWER: width = x = 5cm; length = 2x+1 = 11cm