The blue dot is at what value on the number line?
2 answers:
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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
In order to make b the subject of this equation, we must isolate it on the left side. We can do this by following these steps:
Subtract b from both sides
Subtract P from both sides
Now, we have isolated b, but it is negative. We can fix this by multiplying both sides of the equation by -1.
Which is your final answer.
.
Hope that helped! =)
Subtract b from both sides
Subtract P from both sides
Now, we have isolated b, but it is negative. We can fix this by multiplying both sides of the equation by -1.
Which is your final answer.
Hope that helped! =)