QuestionWhat is the area, in square inches, of the figure above?
Studdy Solution
STEP 1
1. The figure is an L-shaped polygon.
2. The L-shape can be divided into two rectangles.
3. All dimensions are given in inches.
STEP 2
1. Divide the L-shaped figure into two rectangles.
2. Calculate the area of each rectangle.
3. Sum the areas of the two rectangles to find the total area.
STEP 3
Divide the L-shaped figure into two rectangles.
- Rectangle 1: Formed by the top horizontal segment (18 inches) and the right vertical segment (48 inches).
- Rectangle 2: Formed by the bottom horizontal segment (32 inches) and the left vertical segment (22 inches).
STEP 4
Calculate the area of each rectangle.
- For Rectangle 1:
$ \text{Area of Rectangle 1} = \text{Length} \times \text{Width} = 18 \, \text{in} \times 48 \, \text{in}
\]
- For Rectangle 2:
$ \text{Area of Rectangle 2} = \text{Length} \times \text{Width} = 32 \, \text{in} \times 22 \, \text{in}
\]
STEP 5
Calculate the areas:
- Area of Rectangle 1:
$ 18 \, \text{in} \times 48 \, \text{in} = 864 \, \text{in}^2
\]
- Area of Rectangle 2:
$ 32 \, \text{in} \times 22 \, \text{in} = 704 \, \text{in}^2
\]
STEP 6
Sum the areas of the two rectangles to find the total area of the L-shaped figure:
The area of the L-shaped figure is:
Was this helpful?
