Answer:
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.
