The lengths of the parallel sides of a trapezium are 19cm and 13 cm and its area is 128 sq.cm. The distance between the parallel sides is
a) 9 cm
b) 7 cm
c) 8cm
d) 12.5 cm
Please give the answer fast.
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The lengths of the parallel sides of a trapezium are 19cm and 13 cm and its area is 128 sq.cm. The distance between the parallel sides is
a) 9 cm
b) 7 cm
c) 8cm
d) 12.5 cm
Please give the answer fast.
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Answer :
Given :
To find :
Solution :
Given that , Area of trapezium is 128cm² so,
Now we have to use the formula of trapezium
As we know that,
where , Area of trapezium is 128 , sum of parallel sides is 19cm and 13cm , and height is x
Now ,
⇢ Area of trapezium = 1/2 × (sum of parallel side) × height
⇢ 128 = 1/2 × (19 + 13) × x
⇢ 128 = 1/2 × 32 × x
⇢ 128 = 16x
⇢ 16x = 128
⇢ x = 128/6
⇢ x = 8 cm
Hence , The distance between the parallel side is 8cm
More Explanation :
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