A rectangular picture frame is 5 inches wide and 10 inches tall. You want to make the area 6 times as large by increasing the le ngth and width by the same amount. Find the number of0 inches by which each dimension must be increased.
1 answer:
Answer:
5 inches
Step-by-step explanation:
(5 + x)(10 + x) = 6x²
x² + 15x + 50 = 6x²
5x² - 15x + 50 = 0
x² - 3x + 10 = 0
(x - 5)(x + 3) = 0
x = 5, x = -3
We want x to be positive, so x = 5.
Thus, each dimension must be increased by 5 inches.
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