Question

A rectangular floor tile is shown.

Answer 1

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.

What is the relation between force and pressure?

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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Answer 2

The maximum force in Newtons that can be safely applied to the tiles is; 735 N

How to calculate the force from pressure?

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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