To write a linear equation that represents the area and a linear equation that represents the perimeter of the rectangle. Solve the system of linear equations by graphing.
Answer to Problem 29E
Explanation of Solution
Given:
Length of rectangle
Breadth of rectangle
Formula used:
Area of rectangle
Perimeter of rectangle
Calculation:
Let the area of rectangle be given by
Then,
Let the perimeter of rectangle be given by
Then,
Calculation for graph:
Consider
Values of x | Values of A(x) |
0 | -18 |
1 | 0 |
-1 | -36 |
2 | 18 |
-2 | -54 |
By taking different values of x , the graph can be plotted.
Now consider
Values of x | Values of P(x) |
0 | 6 |
1 | 12 |
-1 | 0 |
2 | 18 |
-2 | -6 |
By taking different values of x , the graph can be plotted.
Graph:
Interpretation:
From the graph, it can be observed that the two lines intersect at
Hence, the solution of the system of linear equations of area and perimeter of the rectangle from the graph is
Conclusion:
Therefore, when
Chapter 5 Solutions
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