Question

A triangular traffic island has a base half as long as it's height. The island has an area of 576m. Find the base and the height

Answer 1

A triangular traffic Island has a base half as long as its height. Find the base and the heightif the Island has an area of 64m^2
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b = h/2
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A = (1/2)b*h
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64 = (1/2)(h/2)h
64 = (h/2)^2
h/2 = 8
h = 16 meters

Answer 2

let the height be x then 

base of island =  x/2 

area of island = 1/2* x/2* x = x2 / 4 = 576m