Question

9. The base of a parallelogram is twice its height. If the area of the parallelogram is 512 cm
find the base and the height,
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Answer 1

Solution!!

The base is twice the height of the parallelogram. The area of the parallelogram is given. We have to find the base and height.

Area = 512 cm² (Area is always in square units)

Let the height be h

Let the height be hBase = 2 × h = 2h

Area of the parallelogram = Base × Height

512 cm² = 2h × h

512 cm² = 2h²

512/2 cm² = h²

256 cm² = h²

√256 cm² = h

h = 16 cm

We know the height of the parallelogram. We can easily find the base now.

Base = 2h

Base = 2 × 16 cm

Base = 32 cm

Answer 2

$\underbrace \text{Answer:}$

❃Formula used:

• Area of the parallelogram: Base×Height

❃Solution:

Given,

Area= 513cm²

Let the height be "x" and the base be "2x".

According to the condition:

$= > \bold{512=2x \times x}$

$= > \bold{512 = {2x}^{2} }$

$= > \bold{ \frac{512}{2} = {x}^{2} }$

$= > \bold{256 = {x}^{2} }$

$= > \bold{x = \sqrt{256} }$

$= > \bold{x = 16cm}$

Therefore,

• height= 16cm
• Base= 16×2 = 32cm

Thus, The base is 32cm and the height is 16cm.