The figure is a trapizeum has sides Ab 20cm BC 13cmDP 25cm AD ? find its perimeter
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Answer:
Therefore, the length of parallel sides area are 26 cm and 39 cm.
Step-by-step explanation:
Let the common ration be x,
Then the two parallel sides are 3x, 2x
Distance between them = 10 cm
Area of trapezium = 325 cm²
Area of trapezium = 1/2 (p₁ + p₂) h
325 = 1/2 (3x + 2x) 10
⇒ 325 = 5x × 5
⇒ 325 = 25x
⇒ x = 325/25
Therefore, 3x = 3 × 13 = 39 and 2x = 2 × 13 = 26
Therefore, the length of parallel sides area are 26 cm and 39 cm.
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