SOLUTION: If the perimeter of a rectangle is 26 ft and the width is 10 ft find its length?

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Question 118024: If the perimeter of a rectangle is 26 ft and the width is 10 ft find its length?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
P=2L%2B2W Start with the perimeter formula


26=2L%2B2%2810%29 Plug in P=26 and W=10


26=2L%2B20 Multiply


0=2L%2B20-26Subtract 26 from both sides


-2L=20-26 Subtract 2l from both sides


-2L=-6 Combine like terms on the right side


L=%28-6%29%2F%28-2%29 Divide both sides by -2 to isolate l



L=3 Divide

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Answer:
So our answer is L=3


When the length is 3 and the width is 10, the perimeter is 26


Check:

P=2L%2B2W Start with the perimeter formula


26=2%283%29%2B2%2810%29 Plug in P=26, L=3, and W=10


26=6%2B20 Multiply


26=26 Add. Since the two sides of the equation are equal, this verifies our answer.