The area of a parallelogram is 338 m2. If its altitude is twice the corresponding base, determine the base and the altitude.

Question

KnowledgeBoat · Accepted Answer

ABCD is a parallelogram given below:

Given,

Area of parallelogram = 338 m²

Let base BC = x

∴ Altitude (height) = AE = 2x

Area of parallelogram = Base × Height

⇒ 338 = x × 2x

⇒ 2x² = 338

⇒ x² = $\dfrac{338}{2}$

⇒ x² = 169

⇒ x = $\sqrt{169}$ = 13 m

∴ Base (BC) = x = 13 m.

Altitude (AE) = 2x = 2 × 13 = 26 m.

Hence, base = 13 m and altitude = 26 m.

Mathematics