Leia cuts congruent triangular patches with an area of 15 square centimeters from a rectangular piece of fabric that is 15 centimeters long and 9 centimeters wide. How many of the patches can Leia cut from 31 pieces of the fabric?

279 patches can be made.

Step-by-step explanation:

Evaluate the total area of the rectangular piece of fabric, therefore:

Area = l*w = 15*9=135

There are 31 pieces, so the total area is 135 * 31 = 4,185 square centimeters.

Evaluate the number of triangles that can be made dividing the total area by the area of 1 triangular piece, therefore:

n = 4,185/15=279

So the answer is 279 triangles can be made.