Question

the length of a rectangle is 5 times its breadth. If the perimeter of rectangle is 60, find the length and breadth​

Answer 1

Answer:

Question :-

the length of a rectangle is 5 times its breadth. If the perimeter of rectangle is 60, find the length and breadth.

Answer :-

The length is 25 cm.

The breadth is 5 cm.

Given :-

Length is 5 times breadth

Perimeter = 60 cm

To find :-

Length and breadth of rectangle

Assumption :-

Let the length be 5x.

Let the breadth be x.

Solution :-

$\boxed{ \large{perimeter = 2(length + breadth)}}$

$\implies \: 2(5x + x) = 60 \\ \\ \implies \:6x = 30 \\ \\ \implies \:x = 5 \: cm$

$length \: = 5x = 5 \times 5 = 25 \: cm \\ \\ breadth \: = x = 5 \: cm$

Hence,

The length is 25 cm.

The breadth is 5 cm.

Verification :-

$2(25 + 5) = 60 \\ \\ 2 \times 30 = 60 \\ \\ 60 = 60$

LHS = RHS

HENCE VERIFIED!!!

Answer 2

Correct Question

The length of a rectangle is 5 times its breadth. If the perimeter of rectangle is 60cm, find the length and breadth??

To Find:-

• Lenght of the rectangle
• Breadth of the rectangle

Given:-

Perimeter of rectangle = 60 cm

Length of rectangle is 5 times it's Breadth

Solution:-

step-by-step explanation:

Let the Breadth be " x "

Let the Length be " 5x "

We know that

2 ( Length + Breadth ) = Perimeter of Rectangle

By the problem,

→ 2 ( 5x + x ) = 60

→ 2 ( 6x ) = 60

→ 2 × 6x = 60

→ 12x = 60

→ x = 5

Now,

The breadth of rectangle is 5cm

The Length of rectangle = ( 5x )

= 5 × 5

= 25cm

So, The breadth and lenght of the rectangle is 5cm and 25cm respectively.

Now, Verification

We know that

2 ( Length + Breadth ) = Perimeter of Rectangle

→ 2 ( 25 + 5 ) = 60

→ 2 ( 30 ) = 60

→ 2 × 30 = 60

→ 60 = 60

So, L.H.S = R.H.S

Hence , Proved

Things To Remember

• Perimeter of Square = 4 × sides
• Volume of cuboid = Length × Breadth × Height
• Volume of Cube = ( side )³