# Find Out the Area of the Field? If

The perimeter of a triangular field is 540 metres and the ratio of its sides is 5:12:13. What will be the area of this field?

- 9320 sq. metre
- 9450 sq. metre
- 9560 sq. metre
- 9720 metre

**Answer: (4) 9720 sq. meters**

**Explanation:-**

The perimeter of the triangular field = 540 meters

The ratio of the sides of the triangular fields = 5: 12: 13

Let the side of the triangular field = 5X, 12X and 13X.

Then, 5 X + 12 X + 13 X = 540 meters

30 X = 540

X = 540/30

X = 18 m

Then, the sides of the triangle are 5 X = 5 x 18 = 90 m, 12 X = 12 x 18 = 216 m and 13 X = 13 x 18 = 234 m

The are of the triangle = 90 x 216/2

= 45 x 216

= 9720 sq.meters.

Then, the are of the triangle is 9720 sq. meters.

Hence, the answer is (4) 9720 sq. meters.