Question

The length and breadth of a rectangular field are in the ratio 7:4 . Thr cost if fencing tje field at rs 25 per metre is 3300 find the dimension of the fied

Answer 1

Answer:

Step-by-step explanation:

Given the total cost of fencing = Rs. 3300

Rate/m of fencing = Rs. 25/m

we know that total cost of fencing = perimeter of rectangular field × rate/m

So, perimeter of rectangular field = total cost of fencing/(rate/m)

                                                        = 3300/25

                                                        = 132 m

Now, given that L:B = 7:4

Let 7x be the length and 4x be the breadth.

we know that perimeter of rectangle = 2(L+B)

132 = 2(7x + 4x)

66 = 11x

x = 6

Therefore, length = 7x = 7 × 6 = 42 m

and breadth = 4x = 4 × 6 = 24 m

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