Question

The base of a parellelogram us twice its height find the base and height if the area is 392cm square

Answer 1

see the image for the answer

Answer 2

✬ $\large\green{\texttt{Base = 28 cm}}$ ✬

✬ $\large\green{\texttt{Height = 14 cm}}$ ✬

Explanation:

Given:

• Base of a parallelogram is twice it's height.
• Area of parallelogram is 392 cm².

To Find:

• What is the meaure of base and height of parallelogram ?

Solution: Let the meaure of height of parallelogram be x cm. Therefore,

➟ Base of ||gm = Twice of height

➟ Base = 2x cm

As we know that:-

★ Area of ||gm = (Base $\times$ Height) ★

A/q

• Area = 392 cm²

$\implies{\rm }$ 392 = (Base $\times$ Height)

$\implies{\rm }$ 392 = (2x $\times$ x)

$\implies{\rm }$ 392 = 2x²

$\implies{\rm }$ 392/2 = x²

$\implies{\rm }$ 196 = x²

$\implies{\rm }$ √196 = x²

$\implies{\rm }$ √14 $\times$ 14 = x

$\implies{\rm }$ 14 cm = x

Hence,

➫ Meaure of Height = x = 14 cm

➫ Measure of Base = 2x = 2(14) = 28 cm

________________________

★ Verification ★

➨ $\large\pink{\rm{392 = Base \: x \: Height}}$

➨ $\large\pink{\rm{392 = 28 \: x \: 14}}$

➨ $\large\pink{\rm{392 = 392}}$

$\large\boxed{\texttt{Verified}}$