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 = ⇒ x2 = 169 ⇒ x = = 13 m ∴ Base (BC) = x = 13 m. Altitude (AE) = 2x = 2 × 13 = 26 m. Hence, base = 13 m and altitude = 26 m.

Mathematics

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

Mensuration

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