To find: The dimensions of the rectangle.
Length=280, Width=140.
Given information:
Given,a rectangle is twice as long as it is wide. The perimeter is 840 ft.
Calculation:
Let the width of the rectangle be y and the length be x .
Hence,
Rewriting the equation:
The matrix equation is given by:
Multiplying both sides by the inverse of the matrix on the left gives the required solution.
The determinant of the matrix is given by:
Since the determinant is not 0, the system has a unique solution.
The inverse of a 2X2 matrix
Plugging the values, the inverse matrix is given by:
Multiplying both sides of the equation by the inverse:
Conclusion:
Length=280, Width=140.
Chapter 12 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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