A painting with dimensions 10 inches by 14 inches is placed in a picture frame (of constant width), increasing its area to 221 s
quare inches. How many inches is the width of the picture frame?
1 answer:
Answer:
1.5 inches
Step-by-step explanation:
(10+2x)(14+2x) = 221
4x² + 48x - 81 = 0
4x² + 54x - 6x - 81 = 0
2x(2x + 27) - 3(2x + 27) = 0
(2x + 27)(2x - 3) = 0
x = -27/2, 3/2
x = 3/2 or 1½ or 1.5 inches
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