Answer:
<h2><em>A. A=12x(2x−1);248cm2</em></h2>
Step-by-step explanation:
The complete question is
<em>The height of a triangle is 1 cm less than twice the length of the base. Let x = the length of the base. Write a function rule for the area of the triangle and determine the area if the length of its base is 16 cm.</em>
<em>A. A=12x(2x−1);248cm2</em>
<em>B. A=12xh;128cm2</em>
<em>C. A=12x(x−2);112cm2</em>
<em>D. A=122x(x−1);240cm2</em>
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The area of a triangle is defined as
Where is the base and is the height.
According to the problem, the height is 1 cm less than twice the base, that is
Now, replacing the second relation in the area equation, we have
If we have
So, the area is 248 square centimeters.
Therefore, the right answer is A.