Question

An architect is building a model of a tennis court for a new client. On the model, the court is 6 inches wide and 13 inches long. An official tennis court is 36 feet wide. What is the length of a tennis court?

Answer 1

The court is `78` feet long

Explanation:

We can make a ratio out of this problem. We know that `6` and `36` are proportional to eachother, which gives us `6/36=13/l`. To solve for `l`, we just simplfy `6/36` to `1/6`. That gives us `1/6=13/l`. Now we just multiply both sides by `6`, which looks like this `cancel(6)*1/cancel(6)=13/l*6`. If we multiply both sides by `l`, we get `l=78`.