Answer:
[tex]2 {x}^{2} - 11x + 15[/tex]
Step-by-step explanation:
We we're given the length of the rectangle as
[tex]l = 2 {x} - 5[/tex]
and the width of the rectangle as :
[tex]w = x - 3[/tex]
Recall that, the area of a rectangle is
Area=l×w
We substitute the given dimensions of the rectangle into the formula to get:
[tex]area =( 2 {x} - {5} ) \times(x - 3)[/tex]
We expand
[tex]2 {x}^{2} - 6x - 5x + 15[/tex]
This simplifies to:
[tex]2 {x}^{2} - 11x + 15[/tex]
