SOLUTION: The length of a rectangle is 3 ft longer than its width. If the perimeter of the rectangle is 70ft, find its length and width.

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Question 1132938: The length of a rectangle is
3 ft longer than its width.
If the perimeter of the rectangle is
70ft, find its length and width.

Found 2 solutions by addingup, MathLover1:
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
L = W + 3
2(W + 3) + 2W = 70
2W + 6 + 2W = 70
4W = 64
W = 16
and the length is:
L = 16 + 3 = 19
~~~~~~~~~~~~~~~~~~~~~
Check:
2L + 2W = 70
2(19) + 2(16) = 70
38 + 32 = 70 Correct

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

if the length of a rectangle is longer than its width , we have
.......eq.1
if the perimeter of the rectangle is , we have




......eq.2
substitute from eq.1
......eq.2




go back to eq.1,substitute
.......eq.1


answer: its length is and width is



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