Could you help? Make legit any System of equations word problem that involves a nonagon with sides of one centimeter.
Sure! Here's a system of equations word problem involving a nonagon with sides of one centimeter:
There is a park with a circular pathway surrounding a nonagon-shaped garden. The perimeter of the nonagon is 9 centimeters. The length of the circular pathway is equal to the sum of the perimeters of the garden and the nonagon. If we let 'x' represent the length of the circular pathway in centimeters, we can find the value of 'x' by setting up a system of equations.
Let's break it down step by step on how to solve this problem:
1. Define the variables:
Let 'x' be the length of the circular pathway.
2. Write equations for the perimeters:
The perimeter of the nonagon is given as 9 centimeters. Since each side of the nonagon has a length of 1 centimeter, the perimeter can be calculated by multiplying the number of sides (9) by the length of each side (1). Therefore, the equation for the perimeter of the nonagon is: 9 = 9 * 1.
The length of the circular pathway is defined as the sum of the perimeters of the garden and the nonagon. So, the equation for the length of the circular pathway is: x = 9 + 9.
3. Solve the system of equations:
Now that we have two equations, we can solve for 'x'. Starting with the first equation, we can simplify it to: 9 = 9.
For the second equation, we can simplify it to: x = 18.
Therefore, the solution to the system of equations is x = 18. This means that the length of the circular pathway surrounding the nonagon-shaped garden is 18 centimeters.
By following these steps, you can solve the system of equations and find the answer to this word problem.