A garden was originally 20 ft by 23 ft. If both dimensions are decreased by the same amount, the area of the garden will be dece
ased by 120 ft^2. Find the dimension of the new garden.
1 answer:
Answer:
20ft × 17ft
Step-by-step explanation:
(20-x)(23-x) = (20×23) - 120
460 - 43x + x² = 460 - 120
x² - 43x + 120 = 0
x² - 40x - 3x + 120 = 0
x(x - 40) - 3(x - 40) = 0
(x - 40)(x - 3) = 0
x = 3, 40
x = 3
New dimensions:
(23-3) × (20-3)
20 × 17
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