Square A has a side length of (2x - 7) and Square B has a side length (-4x + 18). How much bigger is the perimeter of Square B than Square A?

Answer: 100 - 24x

Step-by-step explanation:

The formula for calculating the perimeter of a square is given by:

P = 4l, where l is the length of the side.

Perimeter of square A will be

P = 4 (2x - 7)

P = 8x - 28

Perimeter of square B will be;

P = 4 (-4x + 18)

P = - 16x + 72

Perimeter of square B - Perimeter of square A implies

-16x + 72 - (8x - 28)

-16x + 72 - 8x + 28

collecting the like terms

-16x - 8x + 72 + 28

-24x + 100

⇒ 100 - 24x