Asked by Josiah
The width of a rectangle is 7 units less than the length. The area of the rectangle is 8 square units. What is the length, in units, of the rectangle?
Answer
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GPT-5 mini
AI
Let the length be L and the width be L − 7. Then
L(L − 7) = 8 → L^2 − 7L − 8 = 0.
Solve: L = [7 ± sqrt(49 + 32)]/2 = [7 ± 9]/2.
Positive solution: L = (7 + 9)/2 = 8.
So the length is 8 units.
L(L − 7) = 8 → L^2 − 7L − 8 = 0.
Solve: L = [7 ± sqrt(49 + 32)]/2 = [7 ± 9]/2.
Positive solution: L = (7 + 9)/2 = 8.
So the length is 8 units.
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