Unit five lesson three area of composite figures five questions. The composite shape in the image has an area of 40 in.² what is the area of the rectangle within the composite shape and the rectangle we have on the base we have 3 inches on the right side we have 4 inches and on the top we had 3 inches, so would the answer be 34 in.² 28 in.² 7 in.² or 16 in.²
The correct answer is 16 in.².
To find the area of the rectangle within the composite shape, we need to calculate the area of the entire shape and then subtract the areas of the three triangles.
- The area of the entire shape is 40 in.²
- The area of the three triangles will be 3 in. * 4 in. / 2 = 6 in.² each, so a total of 18 in.²
- Subtracting the area of the three triangles from the area of the entire shape, we get 40 in.² - 18 in.² = 22 in.²
Now, the area of the rectangle within the composite shape can be calculated by subtracting the area of the triangle from the total area of the composite shape, so 22 in.² - 6 in.² = 16 in.².
Therefore, the correct answer is 16 in.².