the of the trapezium this 300 metre square and the ratio of the parallel side is 2 ratio 3 if the altitude is 15 cm find the length of the parallel side
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Answer:
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Step-by-step explanation:
Area of trapezium is given by
A=
2
1
(a+b)h
If one side is a then the other side is a−16 since the difference of parallel sides is 16
∴ A =
2
1
(a+a−16)×15=300
⇒
2
1
(2a−16)×15=300
⇒(2a−16)×15=600
⇒(2a−16)=40 [By dividing both side by 15]
2a=56
a=28 m
The other parallel side=a−16
a−16=28−16=12
Therefore, the sides are 28m and 12m.
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Step-by-step explanation:
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