Answer:
The length of rectangle is 78 and width is 46
Step-by-step explanation:
Let l be the length of rectangle and w be the width of rectangle
Then according to given statement
"The length and width of a rectangle added together is 124"
[tex]l+w = 124[/tex] Eqn 1
And
[tex]l-w = 32[/tex] Eqn 2
The equation form a system of linear equation in two variables. We can use different methods to solve he system.
We will use the elimination method
Adding equation 1 and equation 2
[tex]l+w+l-w = 124+32\\2l = 156\\\frac{2l}{2} = \frac{156}{2}\\l = 78[/tex]
Putting l = 78 in equation 1
[tex]78+w = 124\\w = 124-78\\w = 46[/tex]
Hence,
The length of rectangle is 78 and width is 46
