Understanding the Problem
To find the length of rectangle Park, we start with the given information:
- Perimeter of rectangle = 189 M
- Breadth (width) = 31.125 M
Formula for Perimeter
The perimeter (P) of a rectangle can be calculated using the formula:
P = 2 * (Length + Breadth)
Rearranging the Formula
To find the length (L), we can rearrange the formula:
Length = (Perimeter / 2) - Breadth
Calculating the Length
Now, substitute the known values into the rearranged formula:
- Step 1: Calculate half of the perimeter
- Half of Perimeter = 189 M / 2 = 94.5 M
- Step 2: Subtract the breadth from half the perimeter
- Length = 94.5 M - 31.125 M
- Step 3: Perform the calculation
- Length = 94.5 M - 31.125 M = 63.375 M
Final Result
The length of rectangle Park is:
- Length = 63.375 M
Conclusion
In summary, through the use of the perimeter formula and simple arithmetic, we determined that the length of rectangle Park is 63.375 meters, given a perimeter of 189 meters and a breadth of 31.125 meters. This method illustrates how to effectively solve for an unknown dimension of a rectangle using basic mathematical principles.