SOLUTION: The base of a triangle is one-third as long as its height. If the area of the triangle is 24 square meters how long is its base?

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Question 317513: The base of a triangle is one-third as long as its height. If the area of the triangle is 24 square meters how long is its base?
Found 2 solutions by Fombitz, nyc_function:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a triangle is,
A=%281%2F2%29bh=24
bh=48
%28h%2F3%29h=48
h%5E2=144
highlight%28h=12%29
Then,
b=h%2F3=12%2F3
highlight%28b=4%29

Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
base = (1/3)x
height = x
area = 24
Formula needed is A = 1/2 times base times height.
24 = (1/2)(1/3)(x) times (x)
24 = (x/6) (x)
24 = x^2/6
24*6 = (x^2/6)*6
144 = x^2
sqrt{144} = sqrt{x^2}
12 = x
The height is 12 meters.
The base is 1/3 of 12 or 4 meters.
Done!