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 309606: 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?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Start with:
A+=+%281%2F2%29b%2Ah Substitute A+=+24 and h+=+3b because if b+=+%281%2F3%29%2Ah then h+=+3b
24+=+%281%2F2%29%28b%29%283b%29
24+=+3b%5E2%2F2 Multiply both sides by 2.
48+=+3b%5E2 Divide both sides by 3.
16+=+b%5E2 Take the square root of both sides, discarding the negative solution.
b+=+4
The base is 4 meters long.