Answer: The area of the floor of the store room is 1080 m^2
Step-by-step explanation:
We can begin by using the information provided about the ratios of the dimensions of the store room to set up a system of equations.
Let's call the height of the store room h, the length l, and the breadth b.
From the first ratio given, we know that:
h/l = 5/4
From the second ratio given, we know that:
h/b = 2/3
We can also use the information about the total area of the four walls to set up another equation.
The total area of the four walls is the sum of the area of the top and bottom walls (length x height) and the area of the two side walls (breadth x height).
So we have:
2lh + 2bh = 2760
We can now use the first two equations to solve for one of the variables in terms of the other two.
We can cross-multiply and simplify the first equation:
l = (4/5)h
We can cross-multiply and simplify the second equation:
b = (3/2)h
We can now substitute these expressions for l and b into the equation for the total area of the four walls:
2(4/5)h^2 + 2(3/2)h^2 = 2760
Solving for h, we get:
h = 30
Now that we know the value of h, we can use the equations l = (4/5)h and b = (3/2)h to find the values of l and b.
l = (4/5)h = (4/5)(30) = 24
b = (3/2)h = (3/2)(30) = 45
Now we have all the information we need to find the area of the floor, which is the product of the length and breadth of the store room
Area of floor = lb = 2445 = 1080 m^2
Explanation: By using the information about the ratios of the dimensions of the store room and the total area of the four walls, we set up a system of equations and used algebra to solve for the height, length and breadth of the store room. With this information, we were able to find the area of the floor of the store room.