The total cost of flooring a room at Rs.12.50 per m² is Rs.3,675. If the breadth and length are in the ratio 2 : 3, find its length.

Correct option is A

Given:
Length and breadth ratio = 3 : 2
Cost of flooring = 12.50 per sq.m
Formula Used:
Area = Length × Breadth
Solution:
Area = Total Cost/Cost per m²
= $$\frac{3675}{12.5}​$$​​
=294m²
Let length and breadth of flooring 3a and 2a in meters respectively.
3a × 2a = 294
6a² = 294
a² = 49
a = 7
Length of flooring = 7 × 3
= 21m