The area of a parallelogram is 960 cm2. The ratio of its adjacent side

1.	The area of a parallelogram is 960 cm2. The ratio of its adjacent sides is 5 ∶ 8. If the altitude on the bigger side is 20 cm, then find the altitude on the smaller side?1. 362. 303. 344. 32
Answer» Correct Answer - Option 4 : 32 Given: Area of parallelogram = 960 cm² Ratio of adjacent sides = 5 ∶ 8 Length of Altitude (L₁) = 20 cm Formula used: Area of parallelogram = Base × Height Calculation: Let the other altitude be ‘y’ Let the adjacent sides be 5x and 8x Area of parallelogram = Base × Height ⇒ 960 = (8x) × 20 ⇒ 8x = 960/20 ⇒ x = 6 So, Sides are; 5x = 5 × 6 = 30 cm 8x = 8 × 6 = 48 cm Area of parallelogram = 30 × y ⇒ 48 × 20 = 30 × y ⇒ y = 32 cm ∴ The altitude on smaller side is 32 cm

The area of a parallelogram is 960 cm2. The ratio of its adjacent sides is 5 ∶ 8. If the altitude on the bigger side is 20 cm, then find the altitude on the smaller side?1. 362. 303. 344. 32

Answer» Correct Answer - Option 4 : 32

Given:

Area of parallelogram = 960 cm²

Ratio of adjacent sides = 5 ∶ 8

Length of Altitude (L₁) = 20 cm

Formula used:

Area of parallelogram = Base × Height

Calculation:

Let the other altitude be ‘y’

Let the adjacent sides be 5x and 8x

Area of parallelogram = Base × Height

⇒ 960 = (8x) × 20

⇒ 8x = 960/20

⇒ x = 6

So, Sides are;

5x = 5 × 6 = 30 cm

8x = 8 × 6 = 48 cm

Area of parallelogram = 30 × y

⇒ 48 × 20 = 30 × y

⇒ y = 32 cm

∴ The altitude on smaller side is 32 cm

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