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14 February, 01:34

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?

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Answers (2)
  1. 14 February, 01:50
    0
    132

    Step-by-step 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
  2. 14 February, 02:02
    0
    132 patches

    Step-by-step 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.
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