The length of a rectangle is twice its width. If the perimeter of the rectangle is 54 in, find its area.
2 answers:
Answer: 162 in²
Step-by-step explanation:
The factors of 54 are listed below:
- 1
- 2
- 3
- 6
- 9
- 18
- 27
- 54
18 and 9 are the two factors that when plugged into the equation below, equals 54:
This can also be written as:
So now that we have our two factors, we need to multiply them by each other to get our answer.
18 times 9 = 162
Our answer is 162
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Answer:
Step-by-step explanation:
When making a matrix of two equations with the variables x and y, the result will be a matrix with three columns:
- a column for the values of x in each equation
- a column for the values of y in each equation
- a column for the independent values of each equation
since our system of equations is:
we can see that the value for x in the first equation is 3 and in the second equation is 4, thus the first column will have the numbers 3 and 4:
Now for the values of y we hvae -5 in the first equation and -2 in the second equation, we update the matrix with another column with the values of -5 and -2:
Finally, the last column is the independent values of each equation (or the results) in the first equation that number is 12 and in the second equation is 15, thus the matrix is:
usually there is a line separating the columns for the values of x and y, and the independent values:
this is the matrix of the system of equations