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Question
the sign for a new restaurant will be a triangle with a base of 8 feet and a height of 3 feet. the painter needs to know if he has enough paint to cover the sign. find the area of the sign in square feet.
the area of the sign is \boxed{} square feet.
Step1: Recall the formula for the area of a triangle
The formula for the area of a triangle is \(A=\frac{1}{2}\times b\times h\), where \(b\) is the base and \(h\) is the height.
Step2: Substitute the given values into the formula
Here, \(b = 8\) feet and \(h=3\) feet. So, \(A=\frac{1}{2}\times8\times3\).
First, calculate \(8\times3 = 24\). Then, \(\frac{1}{2}\times24=12\).
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