Wat is the area of polygon. Assume that segment that appear are congruent and angles that appear to be right angles are right angles. T SHAPED bottom is 3 height is 12 under the t shape labeled 4 on both sides the end of the tis 2
To find the area of the polygon, we need to break it down into smaller, simpler shapes.
First, let's find the area of the T-shaped bottom. The T-shaped bottom can be split into a rectangle and two right triangles. The rectangle has a width of 3 and a height of 4, so its area is 3 * 4 = 12. Each right triangle also has a base of 3 and a height of 4, so each right triangle's area is 0.5 * 3 * 4 = 6. Since there are two right triangles, their total area is 6 + 6 = 12. Therefore, the total area of the T-shaped bottom is 12 + 12 = 24.
Next, let's find the area of the rectangular portion under the T shape. The rectangular portion has a length of 2 and a height of 4. Therefore, its area is 2 * 4 = 8.
Finally, let's find the area of the entire polygon. The total area is the sum of the T-shaped bottom and the rectangular portion, so the area is 24 + 8 = 32.
Therefore, the area of the polygon is 32.