Question

1. the floor of a room is square in shape. the room was covered using small square tiles of area 900 cm². the number of tiles along the edge of one side of the floor was 25. work out the area of the floor.

Explanation:

Step1: Find area of one tile

The area of one small square tile is given as $900\ cm^{2}$.

Step2: Find number of tiles in the floor

The number of tiles along one - side of the square - shaped floor is 25. Since the floor is square, the total number of tiles is $25\times25$ (because in a square arrangement of tiles, if there are $n$ tiles along one side, the total number of tiles is $n\times n$).

Step3: Calculate area of the floor

The area of the floor is the area of one tile times the total number of tiles. So, the area of the floor $A = 900\times(25\times25)$.
$A=900\times625 = 562500\ cm^{2}$.

Answer:

$562500\ cm^{2}$