If the values for length and area are plotted, the graph would look like a parabola
Complete the table with the missing values
The table is given with the complete values i.e. there is no missing value on the table
If the values for length and area are plotted, what would the graph look like?
We have:
Perimeter (P) = 100
The perimeter is calculated as:
P = 2(x + y)
Where x represents the length.
So, we have:
2(x + y) = 100
Divide by 2
x + y = 50
Make y the subject
y = 50 - x
The area is calculated as:
A = xy
Substitute y = 50 - x in A = xy
A = x(50 - x)
Expand
A = 50x - x^2
The above function is a quadratic function.
This means that, if the values for length and area are plotted, the graph would look like a parabola (i.e. quadratic function)
How is the relationship between the length and the area of the rectangle different?
The length and the area of the rectangle are different from other kinds of relationships we’ve seen before because both variables are dependent on the width/perimeter
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