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After one side of a square was enlarged by 2 inches and the other side was enlarged by 3 inches, the area of the shape was doubled.
Question
After one side of a square was enlarged by 2 inches and the other side was enlarged
by 3 inches, the area of the shape was doubled.
What was the side of the square?
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Mathematics
5 years
2021-07-27T12:56:09+00:00
2021-07-27T12:56:09+00:00 1 Answers
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Answers ( )
Answer:
6 inches
Step-by-step explanation:
basically, first write an equation
2x^2 = x^2 + 5x + 6
then simplify this into
x^2 = 5x + 6
then use sum-product pattern and factor
(x – 6)(x + 1) = 0
then split into two equations
x – 6 = 0, x + 1 = 0
so, you have x = 6 and x = -1
because it can’t be negative, 6 is your answer