SOLUTION: The width of a rectangle is 1 meter more than half the length of the rectangle. If the perimeter of the rectangle is 110 meters, find the width and the length.

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Question 4010: The width of a rectangle is 1 meter more than half the length of the rectangle. If the perimeter of the rectangle is 110 meters, find the width and the length.
Answer by gsmani_iyer(201) About Me  (Show Source):
You can put this solution on YOUR website!

the formula for perimeter of rectangle = 2(l+w)
here let the length of the rectangle = x meters
So the width of the rectangle = x%2F2+1 (Given)
by applying the formula to get the perimeter
= 2 * (x + (x%2F2%2B1)) = 110 meters
= 2 * (x + x%2F2 + 1) = 110 meters
= 2x + x + 2
= 3x + 2 = 110 meters
= 3x = 110 - 2 = 108 meters.
= x = 108%2F3 = 36 meters
So the length = 36 meters
and the width = 19 meters (half of length + 1)

I hope it is clear to you

gsm