# The perimeter of a rectangular field is 480 feet

The perimeter of a rectangular field is 480 feet and the ratio between the length and breadth is 5: 3. What is the area of the field?

- 54000 sq. feet
- 27000 sq.feet
- 24000 sq. feet
- 13600 sq. feet

**Answer: (4) 13,500 sq feet**

**Solution:-**

The perimeter of a rectangular field = 480

The ratio of the length and breadth = 5: 3

Let the length and breadth be 5 X and 3 X.

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

2 x 8 X = 480

16 X = 480

X = 480/16

X = 30

So, the length and breadth of the rectangle = 5 X 30 = 150 m and 3 X = 3 x 30 = 90 metres

Then, area of the rectangle = 150 x 90

= 13,500 sq feet.

Hence, the correct answer is option (4) 13,500 sq feet.