1mi.
3mi.
1mi.
1mi.
6mi.
7mi.
What is the area of the composite figure?
A. 31 square miles
B. 28 square miles
C. 21 square miles
D.25 square miles
To find the area of the composite figure, we need to add up the individual areas of each shape.
1. The first shape is a square with a side length of 1 mile. The area of a square is side length squared, so the area of this square is 1^2 = 1 square mile.
2. The second shape is a rectangle with dimensions 3 miles by 1 mile. The area of a rectangle is length times width, so the area of this rectangle is 3 * 1 = 3 square miles.
3. The third shape is a square with a side length of 1 mile. The area of this square is also 1 square mile.
4. The fourth shape is a square with a side length of 1 mile. The area of this square is also 1 square mile.
5. The fifth shape is a rectangle with dimensions 6 miles by 1 mile. The area of this rectangle is 6 * 1 = 6 square miles.
6. The sixth shape is a rectangle with dimensions 7 miles by 1 mile. The area of this rectangle is 7 * 1 = 7 square miles.
Adding up the individual areas: 1 + 3 + 1 + 1 + 6 + 7 = 19 square miles.
Therefore, the area of the composite figure is 19 square miles. None of the given options match this answer.
Try again, because it has to be one of them
My apologies for the error in my previous calculation. Let's correct it:
1. The first square has an area of 1 mi^2.
2. The rectangle has an area of 3 * 1 = 3 mi^2.
3. The second square has an area of 1 mi^2.
4. The third square has an area of 1 mi^2.
5. The next rectangle has an area of 6 * 1 = 6 mi^2.
6. The last rectangle has an area of 7 * 1 = 7 mi^2.
Adding up the areas:
1 + 3 + 1 + 1 + 6 + 7 = 19 mi^2
Therefore, the total area of the composite figure is 19 square miles.
Since there is not an exact match in the options provided, I would recommend selecting the closest option, which would be:
A. 21 square miles.