Question

The height of a parallelogram is one third of its base. If the area of the parallelogram is 192cm2, find its height and base.​

Answer 1

Given

Area of parallelogram = 192cm2

The height of a parallelogram is one-third of its base

So

Let the base be x cm.

Height = 1/3x cm.

Area of Parallelogram = Base X Height

Base × Height = 192

x × 1/3x = 192

= 1/3 x2 = 192

= x2 = 192 × 3

= x2 = 576

x = √576

x = 24cm

Base = x = 24cm.

And Height = 1/3x = 1/3 × 24

= Height = 8 cm

Base= 24cm and height = 8cm

Answer 2

Answer:

Given

Area of parallelogram = 192cm²

The height of a parallelogram is one-third of its base

The height of a parallelogram is one-third of its baseSo,

Let the base be x cm.

Height = 1/3x cm.

Area of Parallelogram = Base X Height

Base × Height = 192

x × 1/3x = 192

= 1/3 x2 = 192

= x2 = 192 × 3

= x2 = 576

x = √576

x = 24cm

Base = x = 24cm.

And Height = 1/3x = 1/3 × 24

= Height = 8 cm

Base= 24cm and height = 8cm