Question

vincent is going to frame a rectangular picture with the dimensions shown. write a polynomial for the perimeter.

Answer 1

Vincent is going to frame a rectangular picture with the dimensions shown :-

Length (L) = 5x+7y

Width (W) = 4x-2y

We know the formula of perimeter of rectangle is given by :-

Perimeter = 2·(length + width)

P = 2·(L+W) = 2L + 2W

P = 2·(5x+7y) + 2·(4x-2y)

P = 10x + 14y + 8x - 4y

P = 10x + 8x + 14y - 4y

P = 18x + 10y

So final answer is P = 18x + 10y.