Question

The area of parallelogram is 450 m². Its base is twice its altitude. Find the length of its base and altitude.

Answer 1

Given:

• Area of parallelogram = 450 m²
• Base is twice the altitude

Stepwise Calculation:

1. Let the altitude be h meters.

2. Then the base b = 2h meters.

3. Area of a parallelogram = Base × Altitude

450 = b × h

4. Substitute b = 2h: 450 = 2h × h = 2h² 

5. Solve for h: h² = `450/2` = 225

`h = sqrt(225)`

h = 15 m

6. Find the base: b = 2h

= 2 × 15

= 30 m

The altitude of the parallelogram is 15 meters.

The length of the base is 30 meters.