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Let be the dimensions of the rectangle. We know the equations for both area and perimeter:
So, we have the following system:
From the second equation, we can deduce
Plug this in the first equation to get
Refactor as
And solve with the usual quadratic formula to get
Both solutions are feasible, because they're both positive.
If we chose the positive solution, we have
If we choose the negative solution, we have
So, we're just swapping the role of and
. The two dimensions of the rectangle are
and
Answer:
Step-by-step explanation:
<u>Step 1: Determine the y-intercept</u>
Using the slope intercept form, we know that the equation is y = mx + b where m is the slope and b is the y-intercept. Therefore, looking at our equation, we can tell that b is 1 therefore the y-intercept is (0, 1)
Answer: