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 a rea 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.
2 answers:
The answer is 10 was added to each side. x² + 8x + 60 = x² + 12x + 20 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.
Answer:
2 was added to each side
Step-by-step explanation:
Given that a rectangle when changed sides, the area became 60 greater than the original
The equation given is
From the above equation we can see that the original area was
and it changed to
Original rectangle dimensions= factors of area terms = x , x+8
New rectangle dimensions = factors of
=x+2, x+10
Thus we have both length and width increased by 2 units.
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