The area of a parallelogram is 392 m2. If its altitude is twice the corresponding base, determine the base and the altitude.
Given:
Area = 392 m2
Base = b (let)
Height = 2b
Now,
Area of parallelogram = Base × Height
⇒ 392 = b × 2b
⇒ 392 = 2b2
⇒ b2 = 196
⇒ b = 14 cm
Hence,
Base = 14 cm
Altitude = 2 × 14 = 28 cm
30