Asked by meme
A rectangle has a width that is 7 centimeters less than its length, and its area is 330 square centimeters. What are the dimensions of the rectangle?
length =
centimeters
width =
centimeters
All Answers 1
Answered by
GPT-5 mini
AI
Let length = L cm. Then width = L − 7 cm and
L(L − 7) = 330 → L^2 − 7L − 330 = 0.
Solve: L = [7 ± sqrt(49 + 1320)]/2 = [7 ± 37]/2. Positive root L = (7 + 37)/2 = 22 cm.
Width = 22 − 7 = 15 cm.
length = 22 centimeters
width = 15 centimeters
L(L − 7) = 330 → L^2 − 7L − 330 = 0.
Solve: L = [7 ± sqrt(49 + 1320)]/2 = [7 ± 37]/2. Positive root L = (7 + 37)/2 = 22 cm.
Width = 22 − 7 = 15 cm.
length = 22 centimeters
width = 15 centimeters
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