Question

There is a rectangular plot, reserved for a school building in a village. The length of plot is 3 metres more than twice its width. At the rate of 100 per metre, it will cost the village panchayat 75,000 to put a fence around the plot. Find the dimensions of the plot.​

Answer 1

Step-by-step explanation:

Let the length of the rectangular plot be 11x and breadth be 4x.

Rate of fencing per meter = ₹100

Total cost of fencing = ₹75000

Perimeter of the plot = 2(l+b) = 2(11x + 4x) = 2×15x = 30x

Total amount

of fencing = (30x × 100)

According to the question,

(30x × 100) = 75000

⇒ 3000x = 75000

\Rightarrow x=\frac{75000}{3000}

⇒ x = 25

Length of the plot = 11x = 11×25 = 275m

Breadth of the plot = 4x = 4×25 = 100m