Question

A rectangle has a perimeter of (12+8y). If one side of the rectangle is (4x-2y), write an expression of the other side.

Answer 1

P = 2(l+w)

substitute for P and l

12+8y = 2 (4x-2y+w)

distribute

12+8y = 8x -4y +2w

solve for w

subtract 8x from each side

12 +8y -8x = -4y+2w

add 4y to each side

12 +12 y -8x = 2w

divide by2

6 +6y-4x =w

the other side is 6+6y-4x