The students in a third-grade classroom arranged the desks in this shape.
A shape is shown with one side labeled 12 in., two sides labeled 6 in., four sides labeled 3 in., and one side labeled p.The perimeter of the shape is 42 feet. what is the length in feet of the side labeled p?
Let's first convert the measurements to feet:
12 inches = 1 foot
6 inches = 0.5 feet
3 inches = 0.25 feet
The shape has one side labeled 12 in. (1 ft), two sides labeled 6 in. (0.5 ft), and four sides labeled 3 in. (0.25 ft).
So the total length of the sides labeled 12 in. (1 ft) is 1 ft.
The total length of the sides labeled 6 in. (0.5 ft) is 2 * 0.5 ft = 1 ft.
The total length of the sides labeled 3 in. (0.25 ft) is 4 * 0.25 ft = 1 ft.
Therefore, the total length of all the sides is 1 ft + 1 ft + 1 ft = 3 ft.
The perimeter of the shape is given as 42 feet. So we can subtract the length of all the known sides from the perimeter to find the length of the side labeled p.
42 ft - 3 ft = 39 ft.
Therefore, the length of the side labeled p is 39 feet.