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natka813 [3]
3 years ago
10

A seamstress has a piece of cloth that is 3 yards long. she cuts it into shorter lengths of 16 inches each. how many of the shor

ter peices can she cut?
Mathematics
1 answer:
Fittoniya [83]3 years ago
8 0
First of all we need to convert the 3 yards to inches, So 3 * 12 = 36

36 / 16 = 2.25

I hope this helps :)
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By applying the knowledge of similar triangles, the lengths of AE and AB are:

a. \mathbf{AE = 3.9 $ cm}\\\\

b. \mathbf{AB = 2.05 $ cm} \\\\

<em>See the image in the attachment for the referred diagram.</em>

<em />

  • The two triangles, triangle AEC and triangle BDC are similar triangles.
  • Therefore, the ratio of the corresponding sides of triangles AEC and BDC will be the same.

<em>This implies that</em>:

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<em><u>Given:</u></em>

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<u>a. </u><u>Find the length of </u><u>AE</u><u>:</u>

EC/DC = AE/DB

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\frac{8.1}{5.4} = \frac{AE}{2.6}

  • Cross multiply

5.4 \times AE = 8.1 \times 2.6\\\\5.4 \times AE = 21.06

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AE = \frac{21.06}{5.4} = 3.9 $ cm

<u>b. </u><u>Find the length of </u><u>AB:</u>

AB = AC - BC

AC = 6.15 cm

To find BC, use AC/BC = EC/DC.

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\frac{6.15}{BC} = \frac{8.1}{5.4}

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AB = AC - BC

  • Substitute

AB = 6.15 - 4.1\\\\AB = 2.05 $ cm

Therefore, by applying the knowledge of similar triangles, the lengths of AE and AB are:

a. \mathbf{AE = 3.9 $ cm}\\\\

b. \mathbf{AB = 2.05 $ cm} \\\\

Learn more here:

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