Mrs. Jones is cutting fabric into triangular bandages for students to practice bandaging in First Aid Class. The dimensions of the triangular sling are 30 x 30 x 45 inches. The triangular bandage for the head needs to be similar but smaller than the triangle for the sling. Mrs. Jones has a piece of fabric that is 18 inches wide and 112 inches long. If one of the shorter sides of the bandage is 18 inches, find the other dimensions of the bandage. How many of these bandages can Mrs. Jones cut out of her piece of fabric?

The number of bandages that Mrs Jones can cut out of her piece of fbric without stitching is 6 bandages

Step-by-step explanation:

From the question, the triangular bandage is similar and smaller than the triangular sling

Dimension of triangular sling = 30 * 30 * 45

Whereby one of the shorter sides of the bandage = 18 inches, we have;

18/30 = x/45, Where, x = the long side of the bandage

Therefore, x = 18/30*45 = 27 inches

To cut out triangular shapes, from the fabric, we have;

Angle at triangle base = cos⁻¹ (27 / (18*2)) = 41.4°

Length of edge of cut fabric per bandage = 27 * cos (90-41.4) = 17.86 in.

Number of bandage that can be cut = 112 / 17.86 = 6.27 bandages

Therefore, number of bandages that can be cut without stitching = 6 bandages.