Question

The ratio of length and breadth of rectangular field is 4:3. It's perimeter is 56 m. The length of this field is

Answer 1

Given :-

• The ratio of length and breadth of rectangular field is 4:3. It's perimeter is 56 m.

To find :-

• Length of rectangle

Solution :-

Let the length be 4x and breadth be 3x

• Perimeter of rectangle = 56m

As we know that

→ Perimeter of rectangle = 2(l + b)

Where " l " is length and " b " is breadth of rectangle

As per given condition

→ Perimeter of rectangle = 56

→ 2(l + b) = 56

→ 2(4x + 3x) = 56

→ 7x = 56/2

→ 7x = 28

→ x = 28/7

→ x = 4

Hence,

• Length of rectangle = 4x = 16m
• Breadth of rectangle = 3x = 12m

Verification :-

• Perimeter of rectangle = 56

→ 2(l + b) = 56

→ 2(16 + 12) = 56

→ 2 × 28 = 56

→ 56 = 56

• Therefore verified

Answer 2

AnsWer :

• Let Length and Breadth of the reactangular field be 4x and 3x.

• Perimeter = 56 m [Given]

____________________

❍ According to Question now,

➸ Perimeter of reactangle = 2 (Length + Breadth)

➸ 56 = 2 (4x + 3x)

➸ 56 = 2 (7x)

➸ 56 = 14x

➸ x = 56/14

➸ x = 4 m

Therefore,

• Length of the reactangular field = 4x = 4(4) = 16 m.