Find the area of each figure.
Understand the Problem
The question asks us to calculate the area of two different complex shapes. For figure 5, we can divide the shape into rectangles and then calculate the total area. For figure 6, we need to calculate the area of the larger rectangle and subtract the area of the smaller rectangle.
Answer
The area of figure 5 is $522$ square inches. The area of figure 6 is $301$ square cm.
Answer for screen readers
The area of figure 5 is $522$ square inches. The area of figure 6 is $301$ square cm.
Steps to Solve
- Calculate the area of the top rectangle in figure 5
Area of a rectangle is length * width
The top rectangle has a length of 22 inches and a width of 18 inches.
Area = $22 \times 18 = 396$ square inches
- Calculate the area of the bottom rectangle in figure 5
The bottom rectangle has a length of 14 inches and a width of 9 inches.
Area = $14 \times 9 = 126$ square inches
- Calculate the total area of figure 5 Add the areas of the two rectangles
Total Area = $396 + 126 = 522$ square inches
- Calculate the area of the larger rectangle in figure 6
The larger rectangle has a length of 21 cm and a width of 16 cm.
Area = $21 \times 16 = 336$ square cm
- Calculate the area of the smaller rectangle in figure 6
The smaller rectangle has a length of 7 cm and a width of 5 cm.
Area = $7 \times 5 = 35$ square cm
- Calculate the total area of figure 6 Subtract the area of the smaller rectangle from the area of the larger rectangle.
Total Area = $336 - 35 = 301$ square cm
The area of figure 5 is $522$ square inches. The area of figure 6 is $301$ square cm.
More Information
When calculating the area of complex shapes, it can be useful to divide the shapes into smaller, simpler shapes or consider the shape as a larger area with a smaller area removed.
Tips
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