the length of the parallel sides of a Trapezium are in the ratio of 3 is to 2 and the distance between them is 10 cm if the area of the trapezium is 325 CM square find the length of the parallel sides
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Let the lengths of parallel sides be 3x and 2x (ratio is 3:2)
Distance between them = 10 cm
Area of Trapezium given = 325 cm²
But we know that
Area of Trapezium = 1/2(Sum of parallel sides)×distance between them
∴ 1/2( 3x + 2x) × 10 = 325
5x × 5 = 325
x = 325/25
x = 13
∴ Parallel length of parallel sides
3x = 3 × 13 = 39 cm
2x = 2 × 13 = 26 cm
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5
Answer:
Let the lengths of parallel sides be 3x and 2x (ratio is 3:2)
Distance between them = 10 cm
Area of Trapezium given = 325 cm²
But we know that
Area of Trapezium = 1/2(Sum of parallel sides)×distance between them
∴ 1/2( 3x + 2x) × 10 = 325
5x × 5 = 325
x = 325/25
x = 13
∴ Parallel length of parallel sides
3x = 3 × 13 = 39 cm
2x = 2 × 13 = 26 cm
Step-by-step explanation:
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