Find the perimeter of the following problem (2x-1) length and (x+3) width

Question

It is a rectangle we are trying to find the perimeter by simplifying algebraic expressions by distributive property and combining like terms

Answer 1

Rectangles have 4 sides--2 = lengths and 2 = widths, so perimeter = 2l + 2 w = 2(l + w).

l + w = (2x - 1) + (x + 3) = 3x + 2. Then double with distributive property P = 2(3x + 2)

P = 6x + 4

You could also do distributive property twice: 2(2x - 1) + 2(x + 3) = 4x - 2 + 2x + 6 = 6x + 4.