Sure, let's solve the problem step-by-step.
We know the following information:
1. The length of the rectangular floor is 4 meters.
2. The area of the rectangular floor is 31 square meters.
We need to find the width of the rectangular floor.
The area of a rectangle can be calculated using the formula:
[tex]\[ \text{Area} = \text{Length} \times \text{Width} \][/tex]
We can rearrange this formula to solve for the width:
[tex]\[ \text{Width} = \frac{\text{Area}}{\text{Length}} \][/tex]
Using the values given:
[tex]\[ \text{Width} = \frac{31 \text{ m}^2}{4 \text{ m}} \][/tex]
Now, perform the division:
[tex]\[ \text{Width} = 7.75 \text{ m} \][/tex]
So, the width of the rectangular floor is 7.75 meters.
