a room 9m * 7.5m is covered with tiles. size of each tile is 20cm by 25cm. find the cost of tiles at the rate of $45 per tile.
two roads 3m wide have been constructed in the middle of a garden crossing each other at right angles, running parallel to the sides of the garden 35m long and 25m wide. find the cost of constructing the roads at the rate $80 per sq.m.
To find the cost of the tiles, we need to calculate the total number of tiles needed.
Step 1: Convert the room dimensions from meters to centimeters:
Room length = 9m * 100cm/m = 900cm
Room width = 7.5m * 100cm/m = 750cm
Step 2: Calculate the area of each tile:
Tile area = Tile length * Tile width = 20cm * 25cm = 500cm²
Step 3: Calculate the total area of the room:
Room area = Room length * Room width = 900cm * 750cm = 675,000cm².
Step 4: Calculate the total number of tiles needed:
Total number of tiles = Room area / Tile area = 675,000cm² / 500cm² = 1,350 tiles.
Step 5: Calculate the cost of the tiles:
Cost per tile = $45
Total cost of tiles = Total number of tiles * Cost per tile = 1,350 tiles * $45 = $60,750.
Therefore, the cost of the tiles for a room with dimensions 9m * 7.5m, covered with tiles of size 20cm by 25cm, is $60,750.