Leia cuts congruent triangular patches with an area of 45 square centimeters from a rectangular piece of fabric that is 27 centimeters long and 15 centimeters wide. How many of the patches can Leia cut from 25 pieces of the fabric?

225 patches

Step-by-step explanation:

Leia cuts congruent triangular patches with an area of 45 square centimeters from a rectangular piece of fabric that is 27 centimeters long and 15 centimeters wide.

Step 1

Find the Area of the rectangular piece of fabric

= Length × Width

= 27 cm × 15 cm

= 405 cm²

Leia cuts congruent triangular patches with an area of 45 square centimeters from a rectangular piece of fabric.

The number of Triangular patches cut =

45 cm² = 1 triangular patch

405 cm² = x triangular patch

Cross Multiply

45 × x = 405

x = 405/45

x = 9 triangular patches

Hence, she can cut 9 triangular patches from 1 rectangular piece of fabric.

Step 2

How many of the patches can Leia cut from 25 pieces of the fabric?

If:

1 piece of fabric = 9 triangular patches

25 pieces of fabric = x

Cross Multiply

x = 25 × 9 triangular patches

x = 225 patches(triangular).

the answer to the expression is 83