The ratio between the length and breadth of a field is 7:5. The perimeter of the field is 360 meter. What is the area of the field ?
A
31000 sq. meter
B
31500 sq. meter
C
7875 sq. meter
D
8775 sq. meter
Correct Answer: 7875 sq. meter
Let the length and breadth be 7x and 5x meters respectively. Then, perimeter, 2(7x + 5x) = 360 or, 2×12x = 360 or, 24x = 360 or, x = 360/24 = 15 Area = length×breadth = 7x × 5x = 35x2 = 35×152 = 35×225 = 7875 m2