The ratio of the width of a tennis court to its length is 5:12. If the area is 240 m squared, what is the length of the tennis court?

Question

Please answer this as soon as possilble.

Answer 1

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.