SOLUTION: A roof in the shape of a triangle with height
of x feet and a base of 2x + 1 feet. Write a polynomial A(x)
that represents the area of the triangle. Find A(5).
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: A roof in the shape of a triangle with height
of x feet and a base of 2x + 1 feet. Write a polynomial A(x)
that represents the area of the triangle. Find A(5).
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Question 168660: A roof in the shape of a triangle with height
of x feet and a base of 2x + 1 feet. Write a polynomial A(x)
that represents the area of the triangle. Find A(5). Answer by midwood_trail(310) (Show Source):
You can put this solution on YOUR website! The formula for finding the area of a triangle is:
AREA = 1/2 times base times height
In short, we write it like this: A = 1/2 (b) (h)
The base is given to be 2x + 1.
The height is given to be x.
We are looking for A(x), which is read "A of x."
NOTE: A(x) does not mean A TIMES X. A lot of students make this mistake when it comes to functions.
We now have this function:
A(x) = 1/2 (2x + 1) ( x)
We are told to find A(5). This means to replace every x you see with 5 and simplify.
A(5) = 1/2 (2(5) + 1) (5)
A(5) = 55/2
(