THe cost of renovating a 6 m square room is N540. What is the cost of renovating a 9 m square room?
Answer Details
The cost of renovating a room is directly proportional to the area of the room. If the cost of renovating a 6 m square room is N540, then we can find the cost of renovating a 9 m square room using the proportionality constant.
Let C be the cost of renovating a room and A be the area of the room. Then, we have:
C = kA
where k is the proportionality constant. We can find k by using the given information that the cost of renovating a 6 m square room is N540:
540 = k(6)
k = 90
Now, we can use this value of k to find the cost of renovating a 9 m square room:
C = kA = 90(9) = N810
Therefore, the cost of renovating a 9 m square room is N810.