Question

The base of a parallelogram is twice its height. If the area of the parallelogram is 288 cm”, find
the base and the height of the parallelogram.

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Answer 1

Answer:

let the base = 2x

and height= ×

Area of parallelogram= b×h

288= 2x × x

288= 2x^2

288/2= x^2

144= x^2

x = 12

hence height= 12 cm

and base which was 2x= 12×2

= 24cm

Answer 2

Hey Keshavdev !

Answer:

Height of the Parallelogram = 12 cm

Base of the Parallelogram = 24 cm.

Step-by-step explanation:

Given :

Base of a Parallelogram = 2 × Altitude

Area of the Parallelogram = 288 cm²

Formula :

Area of a Parallelogram = (b × h) units², Where

• b is the Base.
• h is the Altitude (Height).

Procedure :

A = b × h

As b = 2h,

⇒ 288 cm² = (2h) × h

⇒ 144 cm² = h²

⇒ h = √144 cm

∴ h = 12 cm

∴ b = 2(12) cm = 24 cm.

Thanks !