Question

The base of a pllgm is twice its height . If the area of the pllgm is 72cm² , then its height is.​

Answer 1

Given:

• Base of the parallelogram = Twice the height of the parallelogram

• Area of the parallelogram = 72cm²

To calculate:

• Height of the parallelogram.

Calculation:

Let the height of the parallelogram be "h".

According to the question,

• Base = 2h

[Since, the base of the parallelogram is twice the height of the parallelogram.]

We know that,

→ Area of the parallelogram = Base × Height

→ 72 cm² = ( 2h × h ) cm²

→ 72 = 2h²

→ $\sf {\cancel {\dfrac{72}{2}} }$ = h²

→ 36 = h²

→ √36 = h

Finding the square root of 36 :

⇒ 36 = 6 × 6

⇒√36 = √6²

⇒ √36 = 6

____

→ 6 cm = h

Henceforth, height of the parallelogram is 6 cm.

Know More!!

• A parallelogram has 4 vertices, 4 angles and 4 sides.

• Opposite sides of a parallelogram are equal.

• Opposite sides of a parallelogram are parallel to each other.

• Opposite angles of a parallelogram are equal.

• Diagonals of a parallelogram bisect each other.