Question

Leia cuts congruent triangular patches with an area of 15 square centimeters from a rectangular piece of fabric that is 10 centimeters long and 6 centimeters wide. How many of the patches can Leia cut from 33 pieces of the fabric?

Answer 1

132

Explanation:

Total area'A' of rectangular piece of fabric is given by

A= length 'l' x width'w'

A= 10 x 6=> 60cm²

As there are 33 such pieces, 33 x 60=1980cm²

In order to evaluate the umber of triangles that can be made, divide total area by the area of one triangular piece

n= 1980/15

n=132

Therefore, 132 triangles can be made

Answer 2

132 patches

Explanation:

First we need to find the area of the rectangular piece, multiplying the length and the width:

Area of fabric: 10 * 6 = 60 cm2

If each triangular patch has 15 cm2 of area, a fabric of 60cm2 can make 60 / 15 = 4 triangular patches.

Then, if Leia uses 33 pieces of fabric, she can make a total of 33 * 4 = 132 patches.