Question

I need help finding the area. Answer ChoicesA. (21x^2 - 17x + 2) Square units B. (21x^2 + 11x + 2) Square units C. (21x^2 + 2) square units D. (21x^2 - 11x + 2) square units

Answer 1

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.

Step-by-step explanation: The area of a rectangle is given by multiplying its length by breadth. Here suppose

`l=7x-1\text{ units}`

and

`b=3x-2\text{ units}`

Now the area of the rectangle is

`A=l* b`

Putting the values of l and b we get-

`\begin{gathered} A=(7x-1)*(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}`

Final Answer: Option A is correct.