Answer:
The total cost of to re-decorate the community hall is £2172.
Step-by-step explanation:
We have been given that a community hall is in the shape of a cuboid. The hall is 40m long 15m wide and 3m high.
The paint will be required for 4 walls and ceiling.
Let us find area of walls and ceiling.
Are of Walls and Ceiling = ![2(l+b)h+lb=2(40+15)3+(40\times15)= 6\times55+600= 330+600 =930m^2](https://tex.z-dn.net/?f=2%28l%2Bb%29h%2Blb%3D2%2840%2B15%293%2B%2840%5Ctimes15%29%3D%206%5Ctimes55%2B600%3D%20330%2B600%20%3D930m%5E2)
Therefore, the area of walls and ceiling is 930 square meters.
Given: Cost for 10 litre of paint is £10 and 10 litre paint covers 25 square meter. Therefore,
Total Painting cost = ![10 \times \frac{930}{25} = \£372](https://tex.z-dn.net/?f=10%20%5Ctimes%20%5Cfrac%7B930%7D%7B25%7D%20%3D%20%5C%C2%A3372)
Therefore, the total painting cost of wall is £372.
Tiles will be required for floor. Let us find the area of floor.
Area of floor = ![l \times b = 40\times15 =600m^2](https://tex.z-dn.net/?f=l%20%5Ctimes%20b%20%3D%2040%5Ctimes15%20%3D600m%5E2)
Given: 1m squared floor tiles costs £3. So,
Total Cost for tiles = ![3\times600= \£1800](https://tex.z-dn.net/?f=3%5Ctimes600%3D%20%5C%C2%A31800)
Therefore, the total cost for tiles is £1800.
Now let us find total cost of to re-decorate the community hall;
Total Cost = the total painting cost of wall + the total cost for tiles = ![\£1800+\£372= \£2172](https://tex.z-dn.net/?f=%5C%C2%A31800%2B%5C%C2%A3372%3D%20%5C%C2%A32172)
Hence, the total cost of to re-decorate the community hall £2172.