Question 2
The perimeter of a figure is the sum of all sides. Let's re-draw the figure with each side lengths labeled. Shown below:
We now know all the side lengths. Let's add them to find the perimeter of the figure.
[tex]\begin{gathered} 9+2+3+3+3+3+3+2 \\ =28\text{inches} \end{gathered}[/tex]
Thus,
Perimeter = 28 inches
We can find the area of the figure by breaking it apart into rectangles and finding the individual area and adding it up. Let's break apart the composite figure:
We have broken down the figure into 2 shapes.
• Top is a square (red color) with side lengths 3 inches.
,
• Bottom is a rectangle (orange color) with side lengths 9 by 2 inches.
>>>> The area of a square is the side length squared. Thus,
Area of Square = 3^2 = 9 sq. inches.
>>>> The area of a rectangle is length times height. Thus,
Area of Rectangle = 9 * 2 = 18 sq. inches.
Thus,
Total Area of Figure is
9 + 18 = 27 sq. inches.
