Certainly! Let's go through the problem step by step.
1. Write the formula for the perimeter of a rectangle:
The formula for the perimeter [tex]\( P \)[/tex] of a rectangle is:
[tex]\[
P = 2l + 2w
\][/tex]
where [tex]\( l \)[/tex] is the length and [tex]\( w \)[/tex] is the width of the rectangle.
2. Substitute the given values for [tex]\( l \)[/tex] and [tex]\( w \)[/tex]:
We are given [tex]\( l = 50 \)[/tex] meters and [tex]\( w = 25 \)[/tex] meters. Substituting these values into the formula, we get:
[tex]\[
P = 2(50) + 2(25)
\][/tex]
3. Perform the multiplication:
[tex]\[
2 \times 50 = 100
\][/tex]
[tex]\[
2 \times 25 = 50
\][/tex]
4. Add the results of the multiplication:
[tex]\[
P = 100 + 50
\][/tex]
[tex]\[
P = 150
\][/tex]
So, the school needs [tex]\( 150 \)[/tex] meters of fencing to go around the swimming pool.
Evaluation of the final statements:
- "The school needs 5,000 meters of fencing."
This is incorrect because, based on our calculations, the school needs 150 meters of fencing.
- "The school needs 150 meters of fencing."
This is correct because our calculated perimeter is precisely 150 meters.
Therefore, the correct amount of fencing needed is 150 meters.
