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

Question

3 years ago

11

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.

Mathematics

2 answers:

kirza4 [7] · Answer 1 · 2022-04-16T07:38:42+03:00

kirza4 [7]3 years ago

5 0

2 was added to each side.

Just took the test.

dalvyx [7] · Answer 2 · 2022-04-16T05:59:56+03:00

dalvyx [7]3 years ago

3 0

The answer is <span>10 was added to each side.
</span>
<span>x² + 8x + 60 = x² + 12x + 20
____
Subtract x</span>² 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.