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Hi
width is half the height
Let x and x/2 represent height and width respectively
Question states***
x(x/2) = 50 ft^2
solving for x
x^2/2 = 50 ft^2
x^2 = 100 ft^2
x = ± 10 |Tossing out negative solution for length
x = 10ft, the height of the wall. the width is 5ft ((1/2)*10ft)