00:01
So in this problem, we're given some information about the size of a tennis court.
00:05
We're going to use that information to write a system of equations and solve that system to find the length and the width of the court.
00:14
So we know that it's rectangular, and we know that the length is six feet longer than twice the width.
00:23
So let's write that in an equation.
00:25
So let's let length be l.
00:27
So length is six feet longer than.
00:30
So we have a plus six, twice the width, so 2w.
00:36
Length is twice the width plus six.
00:39
Good.
00:39
So we've got our first equation.
00:41
And then we also know that the perimeter is 228 feet.
00:45
So if we add up all the sides, we will have 2l plus 2w equals 228.
00:56
All right.
00:57
So now that we have two equations, we can move forward with solving.
01:01
So we already have this equation solved for l.
01:05
We have l equals 2w plus 6.
01:07
So we can substitute that in for l in the second equation so that we can solve for w over here.
01:15
So let's do that.
01:16
So we'll have two times 2w plus 6 plus 2w equals to 28...