Question

The ratio of length and breadth of a rectangular field is 4:3.Its perimeter is 56m.The length of this field is
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Answer 1

2(4k + 3k) = 56

7k = 56/2

7k = 28

k = 28/7

k = 4

4k = 4 × 4 = 16

3k = 3 × 4 = 12

Answer 2

Given :-

• The ratio of length and breadth of a rectangular field is 4:3.Its perimeter is 56m.

To Find :-

• The Length of the rectangular field = ?

Answer :-

• The Length of the rectangular field = 16 m

Explaination :-

• Let Length of rectangular field be 4x

• and Breadth of reactangular field be 3x.

❏ According to Question :-

→ Perimeter of rectangle = 2(Length + Breadth)

→ 56 = 2(4x + 3x)

→ 56 = 8x + 6x

→ 56 = 14x

→ x = 56 ÷ 14

→ x = 4

Therefore,

• The Length of the rectangular field = 4x = 4(4) = 16 m
• The Breadth of the rectangular field = 3x = 3(4) = 12 m

Additional Information :-

• Area of rectangle = length × breadth
• Area of rhombus = ½ × product of diagonals
• Area of trapezium = ½ × sum parallel sides × height
• Area of Parallelogram = base × height
• Perimeter of square = 4 × side
• Area of square = side × side