Final answer:
In this case, the area of the composite figure is 56 in²
Step-by-step explanation:
To find the area of the composite figure, we need to calculate the area of each individual shape and then add them together.
The given figure consists of a square with a side length of 4 inches and a rectangle with a length of 10 inches and a width of 4 inches.
1. To find the area of the square, we can use the formula: Area = side^2.
Substituting the given side length of 4 inches, we get:
Area of the square = 4² = 16 square inches.
2. To find the area of the rectangle, we can use the formula: Area = length x width.
Substituting the given length of 10 inches and width of 4 inches, we get:
Area of the rectangle = 10 x 4 = 40 square inches.
Now, to find the total area of the composite figure, we add the areas of the square and the rectangle together:
- Total Area = Area of the square + Area of the rectangle
- = 16 square inches + 40 square inches
- = 56 square inches.
Therefore, the area of the composite figure is 56 square inches.
A = 56 in²