Use the image to answer the question.
An illustration shows the outline of letter upper L. The thickness of the outline is 7, marked at both ends of the letter. The vertical side of the outline, on the right, measures 13 and the upper horizontal side of the outline measures 15.
Find the area of the polygon in square units.
(1 point)
The total area of the polygon can be calculated by first finding the area of the rectangle (15 x 13) and then subtracting the area of the inner rectangle which is formed by the upper horizontal side of the outline and the vertical side of the outline:
Area of rectangle = 15 x 13 = 195 square units
Area of inner rectangle = 7 x 13 = 91 square units
Total area of polygon = 195 - 91 = 104 square units
Therefore, the area of the polygon is 104 square units.
not it
I apologize for the mistake in my previous response. Let's correct it.
To find the area of the polygon, we need to break it down into simpler shapes. The polygon consists of a rectangle and two right-angled triangles.
The dimensions of the rectangle are 15 by 13:
Area of rectangle = length x width = 15 x 13 = 195 square units
Each right-angled triangle has a base of 15 and a height of 6.5 (half of 13):
Area of one triangle = 0.5 x base x height = 0.5 x 15 x 6.5 = 48.75 square units
Since there are two triangles, the total area of the triangles is 2 x 48.75 = 97.5 square units
Now, we find the area of the polygon by adding the area of the rectangle and subtracting the area of the triangles:
Area of polygon = Area of rectangle - Area of triangles
Area of polygon = 195 - 97.5 = 97.5 square units
Therefore, the correct area of the polygon is 97.5 square units.