Question

length and breadth of a rectangular field in in the ratio 7: 4. If its perimeter is 2200m, find its dimensions.​

Answer 1

☆ Solution ☆

Given :-

• The length and breadth of a rectangular field in the ratio 7 : 4.

• The perimeter of the rectangle is 2200 m.

To Find :-

• The dimensions of the rectangle.

Step-by-Step-Explaination :-

Let,

• The ratios be 7x and 4x

As we know that :-

Perimeter of the rectangle = 2 ( length + breadth )

Where,

• Perimeter of the rectangle = 2200 m

• Length of the rectangle = 7x

• Breadth of the rectangle = 4x

Putting the respective value,

2200 = 2 ( 7x + 4x )

2200 = 2 × 11x

2200 = 22x

x = 2200/22

x = 100

Thus,

The value of x is 100.

Therefore,

The length of the rectangle = 7x = 7 × 100 = 700

The breadth of the rectangle = 4x = 4 × 100 = 400

Hence,

The length of the rectangle = 700m

The breadth of the rectangle = 400 m

Answer 2

Explanation:

ratio of the length and Breadth= 7:4

or,7x : 4x

Perimeter = 2200m= 2(L+B)

2(7x+4x) = 14x+8x = 22x = 2200m

x= 2200/22= 100

therefore, length = 7x = 700 m

Breadth= 4x= 400 m ans.