Will R. answered • 01/11/15

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Since we know that the ratio of width to length is 5 to 12 and the area is 240m

^{2}, we can say that one unit of length is x meters, giving us the equation 5x(width)*12x(length)=240m^{2}.We next simplify the left side of the equation. 5*12=60 and x*x=x

^{2}, making our equation: 60x^{2}=240.Now we solve for x. First divide out the 60, giving us x

^{2}=4Next 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.