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What is the answer to this quadratic function question?
A rectangle's width is 5 feet less than its length. If the area of the rectangle is 546 square feet. What is the length, in feet ?
I would think youd add 5 to 546 and then square root it, however I can tell thats not the correct answer.
2 Answers
- ?Lv 76 months agoFavorite Answer
Call the rectangle's length L.
Than its width is L - 5.
Its area is length x width = L(L - 5)
So L(L - 5) = 546. Simplifying,
L² - 5L - 546 = 0 Factoring,
(L + 21)(L - 26) = 0
Rejecting the negative solution,
L = 26 ft
- KrishnamurthyLv 74 months ago
A rectangle's width is 5 feet less than its length.
If the area of the rectangle is 546 square feet.
w(w + 5) - 546 = 0
(w - 21) (w + 26) = 0
What is the length, in feet ?
The length is 26 feet.
