The parallel sides of a Trapezium are in the ratio 6 is to 7 and the distance between them is 12.5 cm find the length of side if the area is 6 point 50 m square
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Answered by
20
Let the ratio be x
so parallel side become 6x and 7x
area of trapezium
= 1/2 (sum of parallel side ) × distance
1/2 (6 x + 7x ) × 12.5 = 6 . 50
6x + 7x = 6.50 × 2 ÷ 12.5
13x = 1.04
x = 0.08
so parallel side = 6( 0. 08 ) = 0.48
7 (0.08) = 0.56
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so parallel side become 6x and 7x
area of trapezium
= 1/2 (sum of parallel side ) × distance
1/2 (6 x + 7x ) × 12.5 = 6 . 50
6x + 7x = 6.50 × 2 ÷ 12.5
13x = 1.04
x = 0.08
so parallel side = 6( 0. 08 ) = 0.48
7 (0.08) = 0.56
PLEASE SELECT MY ANSWERS AS BRAINLIEST
Sowbishri:
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Answered by
18
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 = * (sum of || sides ) * h
⇒ Area of trapezium = * (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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