Question

the length and breadth of a rectangle feild are in the ratio 7:6 .If its perimeter is 520 m ,find its length and breadth?​

Answer 1

Answer:

length is 140m and 120m breadth

Answer 2

Answer:

• Length = 140m
• Breadth = 120m

Step-by-step explanation:

Given :

• Perimeter of the rectangular field is 520m
• Length and breadth of the field in ratio is 7 : 6

To find :

• the Length and breadth of the field

Solution :

Let the length and breadth of the field be 7x and 6x respectively

As we know,

Perimeter of a rectangle = 2(length + breadth)

⟹ 520 = 2(7x + 6x)

⟹ 520 = 2(13x)

⟹ 520 = 26x

⟹ x = 520/26

⟹ x = 20

Now,

• Length = 7x ⟶ 7(20) ⟶ 140m
• Breadth = 6x ⟶ 6(20) ⟶ 120m

Therefore, the length and the breadth of the rectangular field is 140m and 120m respective.

✓ Know more :

The perimeter of a rectangle is defined as the sum of all the sides of a rectangle. For any polygon, the perimeter formulas are the total distance around its sides. In case of a rectangle, the opposite sides of a rectangle are equal and so, the perimeter will be twice the width of the rectangle plus twice the length of the rectangle and it is denoted by the alphabet “p”. Let us derive the formula for its perimeter and area.

Suppose a rectangle has length and width as b and a, respectively.

From the definition of the perimeter we know, the perimeter of a rectangle, P = 2 ( a+b) units

where

“a” is the length of the rectangle

“b” is the breadth of the rectangle