The perimeter of a tennis court is 228 ft. The length is 42 ft longer than the width. Write a set of linear equations.
L = W + 42
2L + 2W = 228
w=186/4
w=46.5
To write a set of linear equations for the given problem, we can use the following steps:
Let's assume:
Let W be the width of the tennis court.
Let L be the length of the tennis court.
1. First, translate the given information into mathematical equations:
The perimeter of a rectangle is calculated by adding up the lengths of all four sides. Since a tennis court is a rectangle, we can set up an equation for the perimeter:
2L + 2W = 228 (equation 1)
2. It is given that the length is 42 feet longer than the width:
L = W + 42 (equation 2)
Now we have a set of linear equations for the problem:
2L + 2W = 228 (equation 1)
L = W + 42 (equation 2)