Answer:
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).
