Question

The base of a parallelogram is twice its height. If the area is 648cm2

, find the

base and height.​

Answer 1

Answer:

Apply the formula:

Area= b×h

So 648= 2x×x

so x= 18 and 2x= 36.

Answer 2

Answer:

The base and height of the parallelogram are 36 cm and 18 cm respectively.

Step-by-step-explanation:

Let the base of the parallelogram be "b".

And the height of the parallelogram be "h".

From the first condition,

Base of parallelogram = Twice the height of parallelogram

⇒ b = 2h - - - ( 1 )

Now, we know that,

Area of parallelogram = Base * Height

⇒ 648 = b * h - - - [ Given ]

⇒ 648 = 2h * h - - - [ From ( 1 ) ]

⇒ 648 = 2h²

⇒ 2h² = 648

⇒ h² = 648 ÷ 2

⇒ h² = 324

⇒ h = √324

⇒ h = √( 18 * 18 )

⇒ h = 18 cm

Now,

b = 2h - - - ( 1 )

⇒ b = 2 * 18

⇒ b = 36 cm

∴ The base and height of the parallelogram are 36 cm and 18 cm respectively.