The other parallel side is 44 m
Step-by-step explanation:
Let us revise the formula of the area of a trapezium
[tex]A=\frac{1}{2}(b_{1}+b_{2})h[/tex] , where
∵ 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
∴ [tex]b_{1}[/tex] = 20 m
We need to find [tex]b_{2}[/tex]
Substitute all these value in the rule of the area below
∵ [tex]A=\frac{1}{2}(b_{1}+b_{2})h[/tex]
∴ [tex]480=\frac{1}{2}(20+b_{2})(15)[/tex]
- Multiply the two sides by 2
∴ [tex]960=(20+b_{2})(15)[/tex]
- Divide both sides by 15
∴ [tex]64=20+b_{2}[/tex]
- Subtract 20 from both sides
∴ [tex]44=b_{2}[/tex]
The other parallel side is 44 m
Learn more:
You can learn more about trapezium in brainly.com/question/7287774
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