If a rectangle has length 8 cm and width w, what is A(3)?

If a rectangle has length 8 cm and width w, what is A(3)?

• A. 16 cm^2
• B. 32 cm^2
• C. 24 cm^2
• D. 8 cm^2

Answer: (C)

Finding the area of a rectangle is done by multiplying its length by its width. Here the length is 8 cm and the width is w, so the area function is A(w) = 8w. To get A(3), substitute 3 for w: A(3) = 8 × 3 = 24 cm^2. The units are square centimeters because you’re counting unit squares inside the rectangle. The other numbers come from using different widths (for example, width 2 gives 16 cm^2, width 4 gives 32 cm^2, width 1 gives 8 cm^2), but with a width of 3 the area is 24 cm^2.

Finding the area of a rectangle is done by multiplying its length by its width. Here the length is 8 cm and the width is w, so the area function is A(w) = 8w. To get A(3), substitute 3 for w: A(3) = 8 × 3 = 24 cm^2. The units are square centimeters because you’re counting unit squares inside the rectangle. The other numbers come from using different widths (for example, width 2 gives 16 cm^2, width 4 gives 32 cm^2, width 1 gives 8 cm^2), but with a width of 3 the area is 24 cm^2.