Malene wrote the equation x² + 8x + 60 = x² + 12x + 20 to show that the area of a changed rectangle is 60 cm² greater than the area of the original rectangle. How did the rectangle change?

1 was added to each side.

2 was added to each side.

8 was added to each side.

10 was added to each side.

The answer is 10 was added to each side.

x² + 8x + 60 = x² + 12x + 20
____
Subtract x² from both sides:

x² + 8x + 60 - x² = x² + 12x + 20 - x²
8x + 60 = 12x + 20
60 - 20 = 12x - 8x
40 = 4x
x = 40/4
x = 10

So, 10 was added to each side.

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jordanalexisw jordanalexisw · Answer 2 · 2018-10-05T14:27:29-04:00

jordanalexisw jordanalexisw

05-10-2018

2 was added to each side.

Just took the test.

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Malene wrote the equation x² + 8x + 60 = x² + 12x + 20 to show that the area of a changed rectangle is 60 cm² greater than the area of the original rectangle. How did the rectangle change? 1 was added to each side. 2 was added to each side. 8 was added to each side. 10 was added to each side.

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