the new playground at middeldae school will be enclosed by a fence. The playgroundnd will be rectangualar and will have an area of 225 yd. The number of yards on each side will be a whole number.
What is the least amount of fencing that could be required to enclose the playground
least amount of fence will be for a square
Hmmm. 225 = 15^2
so ?
900
15.2
To determine the least amount of fencing required to enclose the playground, we need to find the dimensions of a rectangle with an area of 225 square yards while using the least amount of perimeter.
First, we need to find the factors of 225. Factors are numbers that can be multiplied together to obtain a given number. In this case, we need to find the factors of 225:
1 × 225 = 225
3 × 75 = 225
5 × 45 = 225
9 × 25 = 225
15 × 15 = 225
Now, we look for pairs of factors that differ the least in size because the smaller the difference, the less fencing we will need.
In this case, the pair with the least difference is 15 × 15, which means the playground will have sides measuring 15 yards each.
To calculate the perimeter (fencing required) for a rectangle, we use the formula:
Perimeter = 2 × length + 2 × width
In this case, length and width are both 15 yards, so the perimeter will be:
Perimeter = 2 × 15 + 2 × 15 = 30 + 30 = 60 yards.
Therefore, the least amount of fencing required to enclose the playground is 60 yards.