SOLUTION: A rectangular patio is 7 feet longer than it is wide. Determine the dimensions of the patio if it measures 13 feet diagonally.
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Question 178294: A rectangular patio is 7 feet longer than it is wide. Determine the dimensions of the patio if it measures 13 feet diagonally.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Length: and Width:
Start with Pythagorean's Theorem
Plug in , , and
Square 13 to get 169
FOIL
Subtract 169 from both sides.
Combine like terms.
Factor
or Set each factor equal to zero
(we'll ignore this one) or Solve for "x"
So the width of the patio is 5 ft. This makes the length 12 ft (add 7 to the width)
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