Question

the height of a parallelogram is one third of its base if the area of the parallelogram is 192 cm square find its height and base

Answer 1

let the height of parallelogram be h cm and base be b cm
according to the ques
h = 1/3b
area of parallelogram= b×h
b×h = 192
b×1/3b=192
b^2=576
b=24cm
h=1/3b. (given)
h=24/3
h=8cm




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Answer 2

Answer:

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Step-by-step explanation:

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