SOLUTION: The length of a rectangle is 3cm more than 4 times it's width. Given that the perimeter of the rectangle is 51cm, find its area

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Question 1060174: The length of a rectangle is 3cm more than 4 times it's width.
Given that the perimeter of the rectangle is 51cm, find its area
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
2L+2W = Perimeter
and the problem says that L = 4W+3, so substitute:
2(4W+3)+2W = 51 distribute the 2 over the elements in the parenthesis
8W+6+2W = 51
10W = 45
W = 4.5
and L = 4(4.5)+3 = 21
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Check:
2(21)+2(4.5) = 51
42+9 = 51 Correct
:
John