Answer :
Answer:
The perimeter is (-2x-22) and the area is [tex]-6x^2+13x+28[/tex].
Step-by-step explanation:
Perimeter & Area
Perimeter
Perimeter is the sum of all the side lengths of a given shape. In our case, for a rectangle, the perimeter is the sum of twice its length and twice its width or,
[tex]P=2(l+w)[/tex].
Area
The area of a rectangle is the product of its length and width or,
[tex]A=lw[/tex].
Applying the Formulas
Perimeter
We're given the rectangle's length and width, all we have to do it plug them into the perimeter formula stated above!
[tex]P=2(l+w)=2[\:(2x-7) \:+(-3x-4)\:][/tex]
[tex]=2[-x-11]\\\\\Longrightarrow P=-2x-22[/tex].
Area
We plug in the known value of l and w into the area formula, similarly to how we did it to calculate perimeter.
[tex]A=lw=(2x-7)(-3x-4)[/tex]
[tex]=-6x^2-8x+21x+28\\\\\Longrightarrow A = -6x^2+13x+28[/tex].
