SOLUTION: The lenghth of a rectangle is 3.5 cm longer than its width. The perimeter of the rectangle is 31 cm. Find the length and width of the rectangle

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Question 790904: The lenghth of a rectangle is 3.5 cm longer than its width. The perimeter of the rectangle is 31 cm. Find the length and width of the rectangle
Answer by waynest(281) About Me  (Show Source):
You can put this solution on YOUR website!
length = w + 3.5
width = w
Perimeter = 31
P = 2w + 2L
31 = 2w + 2(w + 3.5)
31 = 2w + 2w + 7
31 - 7 = 4w + 7 - 7
24 = 4w
24/4 = 4w/4
6 = w
check:
31 = 2(6) + 2(6 + 3.5)
31 = 12 + 2 ( 9.5)
31 = 12 + 19
31 = 31