Question

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

Answer 1

`= -24 x +100` for `7/2 < x < 9/2`

Explanation:

Perimeter of Square A = `4(2 x - 7) =8 x - 28` unit.
note : since the unit of length cannot be -ve value, therefore `x>7/2` for Square A.

Perimeter of Square B = `4(-4 x + 18) =-16 x + 72` unit
note : since the unit of length cannot be -ve value, therefore `x<18/4 or 9/2` for Square B.

Consideration to both of notes, the values x shall be `7/2 < x <9/2`
The different perimeter between Square B and Square A = Perimeter of Square B - Perimeter of Square A.

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

`= -16 x + 72 -8 x +28`

`= -24 x +100` for `7/2 < x < 9/2`