Leia cuts congruent triangular patches with an area of 63 square centimeters from a rectangular piece of fabric that is 27 centimeters long and 21 centimeters wide. How many of the patches can Leia cut from 33 pieces of the fabric?

- The triangular patches have an area of 63 cm ² (A1 = 63 cm²).

- The rectangular piece of fabric is 27 centimeters long and 21 centimeters wide.

1. Then, the first thing you must do is to calculate the area of the piece of fabric. The formula for the area of a rectangle is:

A2=LxW

L=27 centimeters (The lenght of the rectangle)

W=21 centimeters (The width of the rectangle)

2. When you substitute the values of L and W into the formula, you obtain:

A2 = (27 cm) (21 cm)

A2=567 cm ²

3. Then, let's calculate how many triangular patches she can cut from a rectangular piece of fabric:

A2/A1 = 567 cm ²/63 cm² = 9 triangular patches

4. Finally, you can calculate how many triangular patches she can cut from 33 rectangular pieces of the fabric:

(9 triangular patches) (33 pieces of fabric) = 297 triangular patches

How many of the patches can Leia cut from 33 pieces of the fabric?

The answer is: 297 triangular patches