Larry is building a frame around a rectangular picture. He will need 44 inches of wood to do the entire frame. If the frame is 12 inches long, how wide is the frame?
20
8
10
22
Let's assume that the width of the frame is x inches.
The total length of the frame (including the width of the frame) is 12 + 2x inches.
The total width of the frame (including the width of the frame) is x + 2x = 3x inches.
The perimeter of the frame (the total length of all four sides) is given as 44 inches:
Perimeter = 2(Length + Width)
44 = 2(12 + x + x + 2x)
44 = 2(12 + 4x)
44 = 24 + 8x
20 = 8x
x = 2.5
Therefore, the width of the frame is 2.5 inches.