a 4 m by 3 m rectangular floor is covered by 300 square floor tiles. What is the side length of each tile?
well, 4x3=300s^2
s=sqrt(12/300)=sqrt(4/100)=.2 meter
To find the side length of each tile, you need to divide the total area of the floor by the number of tiles. Here's how you can calculate it:
Step 1: Calculate the area of the rectangular floor
The area of a rectangle is given by the formula: area = length × width. In this case, the length is 4 m and the width is 3 m. So, the area of the floor is 4 m × 3 m = 12 square meters.
Step 2: Divide the area of the floor by the number of tiles
Divide the total area of the floor (12 square meters) by the number of tiles (300).
12 m² / 300 = 0.04 m².
Step 3: Take the square root
To find the side length of each tile, take the square root of the result from Step 2.
√0.04 m² = 0.2 m.
Therefore, the side length of each tile is 0.2 meters (or 20 centimeters).