the area of a trapezium is 1350cm^2 and parellel distance between parellel sides is 25cm . find the length of parellel sides if one side is twice the other side
Answers
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the area of a trapezium is 1350cm^2 and parellel distance between parellel sides is 25cm . find the length of parellel sides if one side is twice the other side
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The two parallel sides are 36 centimetres and 72 centimetres
Step-by-step explanation:
Given
Area of trapezium = 1350cm²
Perpendicular distance = height = 25 centimetres
First parallel side = X (a)
Second parallel side = 2X (b)
Area of trapezium = 1/2 (a + b) × height
So,
Area of trapezium = 1/2 (X + 2X) × 25 = 1350 cm²
= 1/2 (3X) = 1350 /25
= 1/2 (3X) = 54
= 3X = 108
= X = 108/3
= X = 36
First parallel side = X = 36 centimetres
Second parallel side = 2X = 36 × 2 = 72 centimetres
The two parallel sides are 36 centimetres and 72 centimetres
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Answer:
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Step-by-step explanation:
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