Question

The length and breadth of a rectangular piece of land are in the ratio 5:2. If the total cost of fencing it at Rs. 12.5 per meter is Rs. 25000, find its length and breadth

Answer 1

The length and breadth are 714.30 m and 285.71 m.

Step-by-step explanation:

Fencing implies covering the land by a boundary around the edges.

So the fencing will be done along the perimeter of the land.

The total cost of fencing is Rs. 25000.

The cost of fencing per meter is, Rs. 12.5.

The perimeter is:

P = 2 (l + b)

Let the length and breadth be 5x and 2x.

Compute the value of x as follows:

Total cost of fencing = Perimeter × 12.5

                      25000 = 2 (l + b) × 12.5

                         $25000=2(5x+2x)\times 12.5\\1000=7x\\x=\frac{1000}{7}$

Compute the length and breadth as follows:

$Length=5x=5\times \frac{1000}{7}=714.30\ m\\Breadth=2x=2\times \frac{1000}{7}=285.71\ m$

Thus, the length and breadth are 714.30 m and 285.71 m.

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