Since we know that the ratio of width to length is 5 to 12 and the area is 240m2, we can say that one unit of length is x meters, giving us the equation 5x(width)*12x(length)=240m2.
We next simplify the left side of the equation. 5*12=60 and x*x=x2, making our equation: 60x2=240.
Now we solve for x. First divide out the 60, giving us x2=4
Next we find the squareroot of 4 so that we have x by itself. x=2
We now know that one unit of length is 2 meters, but the length of the tennis court it 12 units or 12x. We then substitute the 2 in for x giving us: 12*2=24.
The length of the tennis court is 24 meters.