Question

The length and breadth of a rectangular piece of land are in the ratio 5:2. If the total cost of fencing at ₹12.5/m is ₹ 25,000, find its length and breadth.​

Answer 1

$Perimeter = \frac{total \: cost}{rate \: of \: fencing} = \frac{25000 \times 10}{125} = 200 \times 10 = 2000 \: {m}^{2}$

Now, let the length & breadth be 5x and 2x.

A/Q :-

$2(5x+2x)=2000 \\ 5x + 2x = 1000 \\ 7x = 1000 \\ x = \frac{1000}{7}$

Therefore,

$Length = (\frac{1000}{7} \times 5) = (\frac{5000}{7})\: cm = 728.57 \: cm$

$Breadth = (\frac{1000 \times 2}{7} ) = \frac{2000}{7} = 285.72 \: cm$

Answer 2

Answer:

length = 728.56m

breadth = 288.89m

Step-by-step explanation:

Given:

           l : b = 5:2

           perimeter = 2 (l+b)

           Hence, 2(5x + 2x) = 25000/ 12.5
           2(7x) = 2000
           7x = 2000/2
            x = 1000/7
           l = 5x=  1000 x 5/ 7= 5000/7 = 728.56m
           b= 2x= 1000x2/7 = 2000/7 = 288.889m

       Note: Algebra basics are very important in order to understand and                                      

      solve these questions easilly.