Question

A rectangle has a length of 2(x+y) and a width of 3(x-y) write an expression for the perimeter of that rectangle simplify the expression

Answer 1

The perimeter of a rectangle
= 2(length)+2(width)
= 2[2(x+y)] + 2[3(x-y)]
= 2(2x+2y) + 2(3x-3y)
= 4x+4y+6x-6y
= 10x-2y
= 2(5x-y)

Hence, the perimeter of the rectangle is 2(5x-y).