Hello,
We know that th formula for the area of a rectangle is:
Now, the problem in this excercise is that there is no restriction on the values that b and h can take, so, they can take any value provided that it meets:
for example:
But if they can only take intenger values, what we have to do is to descompose 12, and then we can analyze the possible solutions.
12 | 2
6 | 2
3 | 3
1
12= 2 *2*3
first option:
12=4*3
Answer: lenght= 4cm and width= 3cm or vice versasecond option:
12=2*6
Answer: lenght= 6cm and width= 2cm <span>
or vice versa</span>
Given:
To find:
The correct function.
Explanation:
Let us consider the function given in option D.
Differentiating with respect to x we get,
Substituting x = 2 in the function f(x), we get
Therefore, the given conditions are satisfied.
So, the function is,
Final answer: Option D