A composite figure is shown. Which is closest to the area of this figure? (Use 3.14 for π.)
Captionless Image
78 meters squared
85 meters squared
88 meters squared
93 meters squared
To find the area of the composite figure, we need to divide it into separate shapes and calculate their areas.
The figure can be divided into a rectangle and a semicircle.
The rectangle has dimensions of 6m x 13m, so its area is 6m * 13m = 78m².
The semicircle has a radius of 3m (which was given in the image) and its area is 1/2 * π * r² = 1/2 * 3.14 * 3m * 3m = 14.13m².
The total area of the composite figure is 78m² (rectangle) + 14.13m² (semicircle) = 92.13m².
Therefore, the closest option to the area of the composite figure is 93 meters squared.