# Thread: Help algebra word problem

1. ## Help algebra word problem

Hey guys im stuck on another alg word problem, if anyone knows how to do this step by step, please help me out.

The rectanglear painting measure 12 inches by 16 inches and contains a frame of uniform width around the four edges. the perimeter of the rectangle formed by the painting and its frame is 72 in.

Find the width of the frame.

2. Originally Posted by urlostaznbro
Hey guys im stuck on another alg word problem, if anyone knows how to do this step by step, please help me out.

The rectanglear painting measure 12 inches by 16 inches and contains a frame of uniform width around the four edges. the perimeter of the rectangle formed by the painting and its frame is 72 in.

Find the width of the frame.
Say the frame has a width w. Then the outer length of the frame is 12 + 2w and the outer width of the frame is 16 + 2w. Thus the outer perimeter of the frame is
P = 2(12 + 2w) + 2(16 + 2w) = 56 + 8w = 72 in.

Thus w = 2 in.

-Dan