# Find out The Area of The Field?

If the perimeter of a rectangular field is 480 m, and the ratio of its length and breadth is 5 : 3, then find out the area of the field.

- 7680 m
^{2} - 13500 m
^{2} - 3840 m
^{2} - 11520 m
^{2}

**Answer: (2) 13500 m ^{2}
Explanation:-**

The ratio of the length and breadth of a rectangle = 5: 3**
**Let the length of the rectangular park be 5X m and the breadth is 3X m.

**Formula-**

** The perimeter of the rectangular park = 2 (length + breadth)**

The perimeter of the rectangular park = 480

Then, 2 (5X + 3X) = 480

2 x 8X = 480

16X = 480

X = 480/16

X = 30

Then, the length of the rectangular park is 5X = 5 x 30 = 150 m

And the breadth of the rectangular park is 3X = 3 x 30 = 90 m

**Formula-**

** The area of the rectangular park = Length x Breadth**

Then, the area of the rectangular park = 150 x 90

= 13500 m^{2}

Then, the area of the rectangular park is 13500 m^{2}

Hence, the answer is (2) 13500 m^{2}.