Question

Q. The perimeter of a rectangle is 240 cm if the breadth of the rectangle is 30 cm find its length also find the area of rectangle​

Answer 1

Question:-

The perimeter of a rectangle is 240 cm if the breadth of the rectangle is 30 cm find its length also find the area of rectangle

Answer:-

• The area of the rectangle is 270 cm²

To find:-

• Area of the rectangle

Solution:-

• Perimeter of rectangle = 240 cm
• Breadth of rectangle = 30 cm

As we know,

$\large{ \boxed{ \mathfrak{perimeter = 2(l + b)}}}$

Where,

• l = length of rectangle
• b = breadth of rectangle

According to question,

$\large{ \rm : \implies \: \: \: \: \: \: \: \: 2(l + 30) = 240}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: l + 30 = \frac{240}{2} }$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: l + 30 = 120}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: l = 120 - 30}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \:l = 90}$

• The length of rectangle is 90 cm

We have to find the area of rectangle.

$\large{ \boxed{ \mathfrak{area = length \times breadth }}}$

According to question,

$\large{ \rm : \implies \: \: \: \: \: \: \: \: area = 90 \times 30}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: area = 270}$

Hence,

The area of the rectangle is 270 cm²

Answer 2

GIVEN :-

Perimeter of Rectangle = 240 Cm.

Breadth = 30 Cm.

TO FIND :-

Find the length and also find the area of the rectangle.

SOLUTION :-

Perimeter of a Rectangle = 240 Cm.

Breadth = 30 Cm.

Length = ?

Let Length be L

Perimeter = 2( L + b )

240 = 2( L + 30 )

240 = 2L + 60

- 2L = 60 - 240

- 2L = - 180

2L = 180

L = 180/2

L = 90

So,

The Area of Rectangle = 90 Cm.