Answer :
Recalling the formula for calculating the area of a rectangle:
[tex]Area=base\times height[/tex]Since the base is equal to (x+6) meters and the height is equal to (2x-1) (it actually doesn't matter which is the height and which is the base), then:
[tex]Area=(x+6)\cdot(2x-1)[/tex]Use the distributive property two times to rewrite the expression in terms of x:
[tex]\begin{gathered} (x+6)(2x-1)=x\cdot(2x-1)+6\cdot(2x-1) \\ =x\cdot2x-x\cdot1+6\cdot2x-6\cdot1 \end{gathered}[/tex]Use additional properties of multiplication and addition to further simplify the expression:
[tex]\begin{gathered} x\cdot2x-x\cdot1+6\cdot2x-6\cdot1 \\ =2x^2-x+12x-6 \\ =2x^2+11x-6 \end{gathered}[/tex]Therefore, the area of the rectangle is 2x^2+11x-6 square meters.