# What will the Area of Field? If

The perimeter of a rectangular field is 640 metres and the ratio between the length and breadth is 3:1. The area of the field is:

- 19200 sq. m
- 20000 sq. m
- 18200 sq. m
- 20200 sq. m

**Answer: (1) 19200 sq.m.**

**Explanation:-**

**Given-**

The perimeter of a rectangular field = 640 m.

The ratio of length & breadth = 3 : 1

Then, Let be the length of the rectangle field is 3X and breadth of the rectangle field is X.

**Formula-**

**Perimeter of rectangle = 2 ( length + breadth)**

According to question,

2 (3X + X) = 640

2 x 4X = 640

8X = 640

X = 640/8

X = 80 m

Thus, the length = 80 x 3 = 240 m and breadth = 80 m

**Formula-**

**Area of rectangle = Length x breadth**

Then, the area of the rectangle field = 240 x 80

= 19200 sq. m.

Hence, the answer is (1) 19200 sq.m.