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.
To find the area of the polygon, we first need to find the area of the rectangle formed by the outline of the letter L.
The area of a rectangle is calculated by multiplying its length by its width. In this case, the length is 13 and the width is 15.
Area of rectangle = length x width
Area of rectangle = 13 x 15
Area of rectangle = 195 square units
Next, we need to subtract the area of the small rectangle formed by the thickness of the outline. The dimensions of this small rectangle are 7 by 15.
Area of small rectangle = length x width
Area of small rectangle = 7 x 15
Area of small rectangle = 105 square units
Finally, we need to subtract the area of the small rectangle from the area of the larger rectangle to get the total area of the polygon.
Total area = Area of rectangle - Area of small rectangle
Total area = 195 - 105
Total area = 90 square units
Therefore, the area of the polygon formed by the outline of the letter L is 90 square units.