Question

the height of a parallprogram is half of its base .if the area of the parallelogram is 200 square centimetres. Find its height and base

Answer 1

Area of parallogram= 200cm^2.
b×h =200
now. b×b/2. =200[ h= b/2 ]
b^2= 400. so b= √400
b=20.cm
h=20/2=10cm

Answer 2

The height and base of the parallelogram are 10 cm and 20 cm respectively.

Step-by-step explanation:

It is given that  height of a parallelogram is half of its base.

Let 2x be the base of parallelogram.

Height of parallelogram = $\frac{1}{2}(2x)=x$

Area of a parallelogram is

$Area=base\times height$

Substitute base = 2x and height = x in the above formula.

$Area=2x\times x$

$Area=2x^2$

It is given that area of the parallelogram is 200 square centimeters.

$2x^2=200$

Divide both sides by 2.

$x^2=100$

Taking square root on both sides.

$x=10$

The value of x is 10. It means height of parallelogram is 10 cm

Base of parallelogram $=2x=2(10)=20$

Therefore, the height and base of the parallelogram are 10 cm and 20 cm respectively.

#Learn more

The area of parallelogram is 50sq cm. If its height is 6.25 cm,then find the length of its base.​

https://brainly.in/question/9476061