Question

one side of a rectangle is 3 cm longer than the other. if the perimeter of a rectangle is 60 cm, what is the length of its side ?​

Answer 1

To Find:-

• Find the length and breadth of the rectangle.

Given:-

• One side of rectangle is 3cm long then the other side.
• The perimeter of rectangle is 60cm.

Solution:-

️ ➭ Perimeter = 2( l + b )

️ ➭ 60 = 2( 3x + x )

️ ➭ 60 = 2( 4x )

️ ➭ 60 = 8x

️ ➭ x = 60/8

️ ➭ $\tt { \boxed{ \: x \: = \: 7.5 \: } }$

So,

Length = 3x => 3(7.5) = 22.5

Breadth = 7.5

Verification:-

️ ➭ 60 = 2 ( 22.5 + 7.5 )

️ ➭ 60 = 2( 30 )

️ ➭ 60 = 60

Answer 2

Answer:

Given :-

• One side of rectangle is greater than other by 3
• Perimeter = 60

To Find :-

Length of rectangle

Solution :-

As we know that

$\huge \fbox {Perimeter = 2(L + B) }$

Let the breadth be x

$\tt\implies \: 60 = 2(3x + x)$

$\tt \implies \: 60 = 6x + 2x$

$\tt \implies \: 60 = 8x$

$\tt \implies \: x = \dfrac{60}{8}$

$\tt \: x = 7.5 \: cm$

So,

Length = 3x =3(7.5) = 22.5

Breadth = 7.5