Answer:
Part A: 48x + 24 units^2
Part B: Yes; both rectangles have the same simplified expression for their area (48x + 24 units^2).
Step-by-step explanation:
First you should know what the formula for finding the area of a rectangle is. The formula is: length (l) times width (w).
<h2>PART A:</h2>
Since you are given an expression for the length and the width, you can substitute these given values into the formula to form a simplified expression for Part A.
(length) * (width) ⇒ (6x + 3)(8)
Multiply to simplify this expression.
48x + 24 units^2 is the expression for the area of the rectangle.
<h2>PART B:</h2>
To find the answer for Part B, do the same thing you did for Part A. Substitute the values for length and width of this other rectangle into the formula.
(length) * (width) ⇒ (4x + 2)(12)
Multiply to simplify this expression.
48x + 24 units^2
This rectangle has the same expression as the other rectangle, so this means that they must have the same area.
