Answer:
36.7 m
55.81 m²
Explanation:
First, we need to find the missing length of the horizontal segment on the right side of the figure. You can do this by subtracting the length of the vertical segment on the right side (2.3 m) from the length of the horizontal segment on the left side (10.7 m). The missing length is:
Next, we need to divide the L-shaped figure into two rectangles. One rectangle has a length of 4.1 m and a width of 8.9 m. The other rectangle has a length of 8.4 m and a width of 2.3 m.
To find the perimeter of the L-shaped figure, we need to add up the lengths of all the sides. The perimeter is:
- 4.1 m + 8.9 m + 8.4 m + 2.3 m + 10.7 m + 2.3 m = 36.7 m.
To find the area of the L-shaped figure, we need to add up the areas of the two rectangles. The area of a rectangle is given by multiplying its length and width. The area of the first rectangle is 4.1 m x 8.9 m = 36.49 m². The area of the second rectangle is 8.4 m x 2.3 m = 19.32 m². The total area is:
- 36.49 m² + 19.32 m² = 55.81 m².
Therefore, the perimeter of the L-shaped figure is 36.7 m and the area is 55.81 m².