Question

Sides of a parallelogram are in the ratio 5:4. Its area is 1200 sq. units. Altitude on the greater side is 24 units. Altitude on the smaller side is:

A 30 units Correct Answer Incorrect Answer
B 50 units Correct Answer Incorrect Answer
C 16 units Correct Answer Incorrect Answer
D 36 units Correct Answer Incorrect Answer

Solution

Using formula, Area of parallelogram = l x h Let the sides of parallelogram be 5x and 4x. Base × Height = Area of parallelogram ⇒ 5x × 24 = 1200 ⇒ x = 1200/(24 x 5) = 10 ⇒ Sides = 50 and 40 units Therefore, 40 x h = 1200 ⇒ h = 1200/40 = 30 units

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