Question

The height of parallelogram is one-third of the base.If the area is 108 sq.cm,find the base and height.

ANSWER IS 18cm,6cm BUT I DONT KNOW THE SOLUTION.

Answer 1

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Answer 2

Answer:

Base = 18 cm

Height = 6 cm

Step-by-step explanation:

Let the base of the parallelogram be x

Since we are given that The height of parallelogram is one-third of the base.

$\Rightarrow Height = \frac{x}{3}$

Formula of Area of parallelogram: $Base\times Height$

So, the area of given parallelogram =  $x\times \frac{x}{3}$

Since we are given that the area is 108 sq.cm,

$\Rightarrow 108 =   x\times \frac{x}{3}$

$\Rightarrow 108 \times 3= x^2$

$\Rightarrow 324= x^2$

$\Rightarrow \sqrt{324}= x$

$\Rightarrow 18= x$

Base = 18 cm

Height = Base/ 3 = 18/3 = 6 cm

Hence the base of parallelogram is 18 cm and height of parallelogram is 6 cm.