Mack wrote the equation x² + 7x + 84 = x² + 13x + 30 to show that the area of a changed rectangle is 84 ft² greater than the area of the original rectangle. how did the rectangle change?

10 is added to each side of the rectangle.

Step-by-step explanation:

Since we have given that

As we have given that the above equation shows that the area of changed rectangle is 84 ft² greater than the area of the original rectangle.

So, we can write it as :

That means Dimensions of original rectangle:

Length of original rectangle = x

Width of original rectangle = (x-7)

Dimensions of new rectangle :

Length of new rectangle = (x+10)

Width of new rectangle = (x+3)

So, Change in length is given by

Change in width is given by

Hence, 10 is added to each side of the rectangle.

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step-by-step explanation: