the area of q trapezium is 368sqcm anad the distance between the parallel sides is 16cm.if one of the parallel dide is of length 20cm.find the length of the other side with diagram
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Answer:
Let the other parallel side be x
According to the question,
Area of trapezium = 368sqcm
1/2×(20+x)×16 = 368
(20+x)×16 = 368÷1/2
(20+x)×16 = 368×2/1
(20+x)×16 = 736
20+x = 736÷16
20+x = 46
x = 46-20
x = 26cm
So, the length of the other parallel side is 26
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Answered by
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Answer :-
Given :-
- Area of trapezium = 368 cm²
- Height = 16 cm
- One of the parallel sides = 20 cm
To Find :-
- Length of other parallel side
Solution :-
We know that,
→ Area of parallelogram = ½ × Sum of parallel sides × Height
Let the other parallel sides be x :-
→ 368 = ½ × ( 20 + x ) × 16
→ 368 = ( 20 + x ) × 8
→ 20 + x = 368 / 8
→ 20 + x = 46
→ x = 46 - 20
→ x = 26
Other parallel sides = 26 cm
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