The total area of the compound shape is 631.5 square millimeters.
To find the area of a compound shape, you'll need to break it down into simpler shapes and then sum up their individual areas.
Let's say the compound shape consists of a combination of rectangles and triangles.
Given:
Rectangle with sides 20 mm and 10 mm
Triangle with base 13 mm and height 11 mm
Rectangle with sides 24 mm and 15 mm
Let's calculate the areas of these shapes:
Area of the first rectangle = length × width = 20 mm × 10 mm = 200 mm²
Area of the triangle = (base × height) / 2 = (13 mm × 11 mm) / 2 = 143 mm² / 2 = 71.5 mm²
Area of the second rectangle = length × width = 24 mm × 15 mm = 360 mm²
Now, add up the areas of these shapes to find the total area of the compound shape:
Total area = Area of rectangle 1 + Area of triangle + Area of rectangle 2
Total area = 200 mm² + 71.5 mm² + 360 mm²
Total area = 631.5 mm²
Therefore, the total area of the compound shape is 631.5 square millimeters.