Question

The area of a parallelogram is same
as that of a rectangle with dimensions
24 cm x 16 cm. If the base of the
parallelogram is 20 cm, find the
corresponding height of the parallelogram.
​

Answer 1

Given :

• Area of a parallelogram is same as that of a rectangle with dimensions 24 cm × 16 cm.

• Base of the parallelogram is 20 cm.

To Find :

• Height of the parallelogram = ?

SoluTion :

First, let's find the area of rectangle.

It's given that,

• Length of the rectangle = 24 cm

• Breadth of the rectangle = 16 cm

As we know that,

• Area of rectangle = length × breadth

Putting the values,

→ Area of rectangle = length × breadth

→ Area of rectangle = 24 cm × 16 cm

→ Area of rectangle = 384 cm²

• Area of rectangle = 384 cm²

____________________

◕ Let's assume the height of the parallelogram as 'h'.

• Base of the parallelogram = 20 cm

We know that,

• Area of parallelogram = base × height

Putting the values,

→ 384 = 20 × h

→ h = 384/20

→ h = 19.2 cm

____________________________

Hence,

• The height of the parallelogram is 19.2 cm

Answer 2

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Given:-

• Area of a parallelogram is same at that of a rectangle with dimension 24 cm × 16 cm.
• Base of the parallelogram is 20 cm.

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To Find:-

Height of the parallelogram.

${ \underline{ \boxed{ \boxed{ \sf{ \blue{Area \: of \: Rectangle}}}}}}$

${ \red{ \underline{ \sf{ \red{Length × Breadth}}}}}$

Solution:-

Length of the rectangle = 24 cm

Breadth of the rectangle = 16 cm

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We know that,

Area of rectangle = length × breadth

= 24 × 16 cm

= 384 cm²

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Hence,Area of rectangle is 384 cm².

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Now,let's Find the base of parallelogram

Base of the parallelogram = 20 cm.

${ \underline{ \boxed{ \boxed{ \sf{ \blue{Area \: of \: Parallelogram}}}}}}$

${ \red{ \underline{ \sf{ \red{Base \: × \: Height }}}}}$

Let's Find

384 = 2 × height

Height = 384/20

= 19.2 cm.

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Hence,the height of the parallelogram is 19.2 cm.

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