Question

A field is in the shape of a trapezium. One of its parallel sides is twice the othe
parallel side and distance between them is 100 m. If area of the field is 10,500 m
find the length of the parallel sides.​

Answer 1

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Solution -  

Let one parallel side be x meters

So, the another parallel side be 2x meters  

According to Question,  

Area of trapezium = 10500 m²  

⇒ 1/2 × (x + 2x) × 100 = 10500  

⇒ 3x = 10500 × 2/100 = 210  

⇒ x = 210/3

⇒ x = 70

Therefore,  

Length of one || side = x = 70 m  

Another || side = 2x = 2(70) = 140 m  

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Answer 2

★ Given :

• → A field is in the shape of a trapezium. One of its parallel sides is twice the other parallel side and distance between them is 100 m. If area of the field is 10,500 m.

★ To Find :

• → The length of the parallel sides.

★ Formula Used Here :

• → Trapezium = 1/2 ( sum of parallel side) × h

★ Assumptions Needed :

• → let one parallel side be x
• → Other parallel side be 2x

★ According to Question :

• → 1/2 ( sum of parallel side) × h
• → 1/2 ( x + 2x ) × 100 = 10500
• → 1/2 × 3x × 100 = 10500
• → 1/2 × 3x = 105
• → 3x = 210
• → x = 70 m

❍ Length of first parallel side :

• → x = 70m

❍ Length of second parallel side :

• → 2x = 2 × 70 = 140 m

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