Given: A rectangle with dimensions (7x-1) units by (3x-2) units.
Required: To find the area of the rectangle by multiplying its length and breadth.
Explanation: The area of a rectangle is given by multiplying its length by breadth. Here suppose
[tex]l=7x-1\text{ units}[/tex]
and
[tex]b=3x-2\text{ units}[/tex]
Now the area of the rectangle is
[tex]A=l\times b[/tex]
Putting the values of l and b we get-
[tex]\begin{gathered} A=(7x-1)\times(3x-2) \\ A=7x(3x-2)-1(3x-2) \\ A=21x^2-14x-3x+2 \\ A=21x^2-17x+2\text{ square units} \end{gathered}[/tex]
Final Answer: Option A is correct.
