The length of a rectangular playground is 4 meters less than 3 times the width. The perimeter is 64 meters. Write 2 equations that would be used to solve the system.
To solve this problem, we can set up two equations using the given information.
Let's represent the width of the rectangular playground as 'w' meters.
From the problem, we know that the length is 4 meters less than 3 times the width. So, the length can be represented as (3w - 4) meters.
1. Equation for the length:
Length = 3 times the width minus 4, or L = 3w - 4
2. Equation for the perimeter:
Perimeter = 2 times the sum of the length and the width, or P = 2(L + w)
Using the given perimeter of 64 meters, we can substitute the values:
64 = 2((3w - 4) + w)
Simplifying this equation will allow us to solve for the width and then find the length of the rectangular playground.
L = 4 W
2L + 2W = 64
I hope you understand where those equations came from. One compares length L and width W.
The other states the perimeter in terms of L and W.