Question

The height of a parallelogram is one third of its base. If the area of parallelogram is 192cm sq find its height and base

Answer 1

Let base = x

Then height = ⅓ x

Given ,

Base × Height = 192 cm²

x×⅓x = 192 cm²

⅓ x² = 192 cm²

x² = 192×3 = 576 cm²

x² = 24²

x = 24 cm

The required base = x = 24 cm

The required height = ⅓x = 24/3 = 8 cm

Answer 2

________Heyy Buddy ❤______

______Here's your Answer _______

Let the base be x cm.

=> Height = 1/3x cm.

Now,

Area of Parallelogram = 192 cm^2

=> Base × Height = 192

=> x × 1/3x = 192

=> 1/3 x^2 = 192

=> x^2 = 192 × 3

=> x^2 = 576

$= > x = \sqrt{576} \\ \\ = > x = 24$

Therefore,

Base = x = 24cm.

And Height = 1/3x = 1/3 × 24

=> Height = 8 cm.
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