the parallel sides of a trapezium are in the ratio 6:7 and distance between them is 12.5 cm.find the lengths of sides if area is 6.50 m^2.
Answers
Answered by
1
Answer:
4800 cm and 5600 cm
Step-by-step explanation:
Let the parallel sides of a trapezium be 6x and 7x respectively.
Area of trapezium = 6.50 m² = 65000 cm²
According to the question ;
Area of trapezium = \frac{1}{2}
2
1
* (sum of || sides ) * h
⇒ Area of trapezium = \frac{1}{2}
2
1
* (6x + 7x) * 12.5
⇒ 65000 cm² = 12.5 ( 13x ) / 2
⇒ 12.5 * 13x = 65000 * 2
⇒ 13x = 130,000 / 12.5
⇒ 13x = 10,400
⇒ x = 10,400 / 13
⇒ x = 800
Therefore, parallel sides are ;
6x = 6 * 800 = 4800 cm
7x = 7 * 800 = 5600 cm
Answered by
3
Answer:-
4800 cm and 5600 cm
Step-by-step explanation:
Let the parallel sides of a trapezium be 6x and 7x respectively.
Area of trapezium = 6.50 m² = 65000 cm²
According to the question ;
Area of trapezium = \frac{1}{2}
2
1
* (sum of || sides ) * h
⇒ Area of trapezium = \frac{1}{2}
2
1
* (6x + 7x) * 12.5
⇒ 65000 cm² = 12.5 ( 13x ) / 2
⇒ 12.5 * 13x = 65000 * 2
⇒ 13x = 130,000 / 12.5
⇒ 13x = 10,400
⇒ x = 10,400 / 13
⇒ x = 800
Therefore, parallel sides are ;
6x = 6 * 800 = 4800 cm
7x = 7 * 800 = 5600 cm
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