Question

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 find the other parralel side

Answer 1

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

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