Question

A narrow rectangular plot reserved for a school in Mahuli village has dimensions in the ratio 11:4 (length: breadth). The cost of fencing the plot at a rate of 100 per meter is 75000. What are the dimensions of the plot?

a) Length = 110m, Breadth = 40m
b) Length = 55m, Breadth = 20m
c) Length = 22m, Breadth = 8m
d) Length = 33m, Breadth = 12m

Answer 1

The dimensions of the plot are Length = 1650m and Breadth = 600m.

Step-by-step explanation:

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

The perimeter of the plot is given by the formula: 2(length + breadth).

So, the cost of fencing the plot is 2(11x + 4x) multiplied by the cost per meter, which is 100.

We are given that the cost is 75000, so we can write the equation: 2(11x + 4x) * 100 = 75000.

Solving this equation, we find that x = 150.

Substituting the value of x back into the dimensions: Length = 11x = 11 * 150 = 1650m and Breadth = 4x = 4 * 150 = 600m.

Therefore, the dimensions of the plot are Length = 1650m and Breadth = 600m.