Troy is building a pool that is proportional to the Olympic-sized pool. The width of his pool will be 625 centimeters.
find the scale factor troy will use to build his pool use the scale factor to show the length of troys pool if the length of the Olympica pool is 50 meters and its width id 25 meters
can anyone explain this to me
You only got one part of it, not to be rude, but what second part of it?
To find the scale factor Troy will use to build his pool, we need to compare the width of his pool to the width of the Olympic-sized pool.
Given that the width of the Olympic-sized pool is 25 meters (or 2500 centimeters), and the width of Troy's pool is 625 centimeters, we can set up a proportion:
Olympic-sized pool width / Troy's pool width = scale factor
(2500 cm) / (625 cm) = scale factor
To simplify this, divide both numbers by 125:
2500 cm / 625 cm = 4
So, the scale factor Troy will use is 4.
Now, to find the length of Troy's pool using the scale factor, we'll multiply the scale factor by the length of the Olympic-sized pool.
Given that the length of the Olympic-sized pool is 50 meters (or 5000 centimeters), we have:
Troy's pool length = scale factor * Olympic-sized pool length
Troy's pool length = 4 * 5000 cm
Calculating this, we get:
Troy's pool length = 20000 cm
Therefore, the length of Troy's pool will be 20000 centimeters.
To find the scale factor that Troy will use to build his pool, we need to compare the corresponding measurements of his pool and the Olympic-sized pool.
Let's start by comparing the widths of the two pools. We know that the width of Troy's pool is 625 centimeters. The width of the Olympic-sized pool is given as 25 meters, but we need to convert it to centimeters for consistency. Since 1 meter is equal to 100 centimeters, the width of the Olympic-sized pool is 25 * 100 = 2500 centimeters.
Now we can calculate the scale factor by dividing the width of Troy's pool by the width of the Olympic-sized pool:
Scale factor = Width of Troy's pool / Width of Olympic-sized pool
= 625 cm / 2500 cm
= 0.25
So, Troy will use a scale factor of 0.25 to build his pool.
To find the length of Troy's pool using the scale factor, we can apply the same scaling ratio to the length of the Olympic-sized pool. The length of the Olympic-sized pool is given as 50 meters, which is equal to 5000 centimeters (since 1 meter is equal to 100 centimeters).
Length of Troy's pool = Scale factor * Length of Olympic-sized pool
= 0.25 * 5000 cm
= 1250 cm
Therefore, the length of Troy's pool will be 1250 centimeters.
Convert to like units.
625 cm = 6.25 m
The scale ratio = 6.25/25.