Question

the area of trapezium is 850cm2 and length of one of the parallel side is 34 cm and its height is 20cm find the length of the other parallel side
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Answer 1

Answer:

Area of trapezium is 850 cm

length is 34 cm

height is 20 cm

length of other side is

1/2 (34+x) *20 =850

1/2(34+x) 10 =850

34*10 +x*10 =850

340 +10x= 850cm

10x=850-340

10x=510

x=510/10

x=51

Answer 2

Question :-

• The area of trapezium is 850cm² and length of one of the parallel side is 34 cm and its height is 20cm find the length of the other parallel side.

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Given that :-

• Area of trapezium = 850 cm²
• Length of parallel side = 34 cm.
• Height = 20 cm.

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To find :-

• Length of other parallel side.

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Formula to be used :-

• Area of trapezium = 1/2 × (Sum of parallel sides) × height.

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Solution :-

Let's substitute the value in the formula :-

Area = 1/2 × (sum of parallel sides) × height

• Let's assume one parallel side to be x.

↪ 850 = 1/2 × (34 + x) × 20

↪ 850 × 2 = (34 + x) × 20

↪ 1700 = 680 + 20x

↪ 1700 - 680 = 20x

↪ 1020 = 20x

↪ x = 1020/20

↪ x = 51

Therefore, length of other parallel side = x = 51 cm.