15 in
15 in
3 in
-3 in
15 in
Find the area of the figure.
A 45 in² 2
60 in²
B
90 in²
C
D 225 in² 2
To find the area of the figure, we need to add up the areas of each shape.
The first two shapes are squares, so to find their area, we multiply the length of one side by itself.
Area of first square: 15 in * 15 in = 225 in²
Area of second square: 15 in * 15 in = 225 in²
The third shape is a rectangle, so to find its area, we multiply its length by its width.
Area of rectangle: 15 in * 3 in = 45 in²
The fourth shape is also a rectangle, and since it has a negative length, it doesn't have a physical meaning. We can ignore it when calculating the area.
The last shape is another square.
Area of last square: 15 in * 15 in = 225 in²
To find the total area, we add up the areas of the shapes we calculated:
225 in² + 225 in² + 45 in² + 225 in² = 720 in²
So the area of the figure is 720 in².
Therefore, the correct answer is D) 720 in².