Extension Question:

Question

Create a rectangle with dimensions of your choosing with the given parameters: the length is equal to 3 times the width. (1 point)

Find the area and perimeter of the rectangle. (2 points)

Answer 1

Let's say the width of the rectangle is w. Based on the given parameters, the length would be 3 times the width, so the length would be 3w.

The area of a rectangle is calculated by multiplying the length and width. Therefore, the area of this rectangle would be:

Area = Length * Width
Area = (3w)(w)
Area = 3w^2

The perimeter of a rectangle is calculated by adding up all the sides. In this case, we have two equal sides (length and width) and two equal sides (width and length). Therefore, the perimeter would be:

Perimeter = 2 * (Length + Width)
Perimeter = 2 * (3w + w)
Perimeter = 2 * 4w
Perimeter = 8w

So the area of the rectangle is 3w^2 and the perimeter is 8w.