Answer:
x = 25/4
Explanation:
If the rectangles are similar, the ratio of the side lengths have to be similar
10 24
------ = --------
x 15
Using cross products
10*15 = 24*x
150=24x
Divide each side by 24
150/24=24x/24
150/24=x
Divide the top and bottom by 6
25/4 = x