We are told that are of a kite is 50 inches. We are also told that the area is 150in.^2. Let's draw a diagram to illustrate the situation.
The area of a kite is half the product of its diagonals.
A=1/2d_1 d_2
We can substitute A= 150, d_1= 50, and d_2= d into this formula and solve for d, one of the diagonals. Let's do it!