Question

the length and the breadth of a rectangular field are in the ratio 7:4. the cost of fencing the field at rs 25 per metre is rs 3300. find the dimensions of the field

Answer 1

Let the length be 7x and breadth be 4x 
2(7x+4x)25 = 3300
50 × 11x = 3300
11x = 3300÷50
11x = 66
x = 66÷11
x = 6
So length is 7×6=42cm and breadth is 4×6=24 cm.

Answer 2

Answer:

Ratio of Length and Breadth=7:4

Let Ratio=7x & 4x

Fencing around it means on its sides Total sides length is PERIMETER

Cost of Fencing=₹25 per/m

Total Cost=₹3300

Perimeter=3300/25=132 m

Perimeter of rectangle=2(L+B)2(7x+4x)=1322×11x=13222x=132x=132/22x=6

• Length=7x

6×7=42 m

• Breadth=4x

4×6=24 m