The maximum force in Newtons that can be safely applied to the tiles is; 735 N
We are given the dimensions of the rectangular floor as;
Length = 1.6 m
Width = 2.3 m
Now, we are told that the tile is only able to sustain a maximum pressure
of 200 Newtons per square metre (N/m²). The formula for pressure here is; Pressure = Force/Area
Thus;
Force = Pressure * Area
Maximum force = 200 * (1.6 * 2.3)
Maximum force = 736 N
Since the Pressure was approximated to the nearest 5 N/m², then;
Maximum pressure will be approximated downwards to 735 N/m²
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The maximum force in Newtons that can be safely applied to the tiles is 735 N.
Given that, the length of a rectangular floor tile=1.6 m and the width of a rectangular floor tile=2.3 m.
We need to calculate the maximum force, in Newtons, that can safely be applied to the tile.
Pressure is a measure of how much force is acting upon an area. Pressure can be calculated using the formula Pressure = Force/Area.
Now, the area of a rectangular floor tile=Length×Breadth=1.6×2.3 square meter
=3.68 square meter
Now, we are told that the tile is only able to sustain a maximum pressure of 200 Newtons per square metre (N/m²).
The formula for pressure here is Pressure = Force/Area
So, Force = Pressure×Area
= 200×3.68= 736 N
Since the Pressure was approximated to the nearest 5 N/m², then; maximum pressure will be approximated downwards to 735 N/m².
Hence, the maximum force in Newtons that can be safely applied to the tiles is 735 N.
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