SOLUTION: A landscaping company is laying out a triangular flower bed. The height of the triangle is 12ft. What lengths of the base will make the area at least 168ft-sq.

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Question 349189: A landscaping company is laying out a triangular flower bed. The height of the triangle is 12ft. What lengths of the base will make the area at least
168ft-sq.
Found 2 solutions by ewatrrr, nerdybill:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
*Note: the formula for the Area of a Triangle = (1/2)base*height
.
168%28ft%29%5E2+=+%281%2F2%29+12ft%2Ah
.
336%28ft%29%5E2+=+12ft%2Ah
.
28ft+=+h or greater
.
check your answer:
%281%2F2%29+28ft%2A+12ft+=+14ft%2A12ft+=+168ft%5E2

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
A landscaping company is laying out a triangular flower bed. The height of the triangle is 12ft. What lengths of the base will make the area at least
168ft-sq.
.
Since area of any triangle is (1/2)bh
where
b is the length of the base
h is the height
.
From the above, our equation is:
168 = (1/2)b(12)
168 = b(6)
168/6 = b
28 feet = b
.
So, base has to be 28 feet or greater