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Oksi-84 [34.3K]
4 years ago
7

The area of a trapezium shaped field is 480m the distance between two parlel sides is 15m and one of the parrellel side is 20m f

ind the other parralel side
Mathematics
1 answer:
Annette [7]4 years ago
7 0

The other parallel side is 44 m

Step-by-step explanation:

Let us revise the formula of the area of a trapezium

A=\frac{1}{2}(b_{1}+b_{2})h , where

  • b_{1} and b_{2} are its parallel bases
  • h is its height (The distance between the two parallel bases)

∵ The area of a trapezium is shaped field is 480 m²

∴ A = 480 m²

∵ The distance between two parallel sides is 15 m

∴ h = 15 m

∵ One of the parallel side is 20 m

∴ b_{1} = 20 m

We need to find b_{2}

Substitute all these value in the rule of the area below

∵ A=\frac{1}{2}(b_{1}+b_{2})h

∴ 480=\frac{1}{2}(20+b_{2})(15)

- Multiply the two sides by 2

∴ 960=(20+b_{2})(15)

- Divide both sides by 15

∴ 64=20+b_{2}

- Subtract 20 from both sides

∴ 44=b_{2}

The other parallel side is 44 m

Learn more:

You can learn more about trapezium in brainly.com/question/7287774

#LearnwithBrainly

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