A company produces a​ standard-size U.S. flag that is 4 ft by 6 ft. The company also produces a​ giant-size flag that is similar to the​ standard-size flag. If the shorter side of the​ giant-size flag is 68 ​ft, what is the length of its longer​ side?

Answer 1

To find the length of the longer side of the giant-size flag, we can set up a proportion using the dimensions of the standard-size flag.

Let x be the length of the longer side of the giant-size flag.

Using the similarity of the two flags, we can set up the following proportion:

6/4 = x/68

Cross multiplying, we get:

4x = 6 * 68
4x = 408
x = 102

Therefore, the longer side of the giant-size flag is 102 ft.