Use the image to answer the question.

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.

no wrong answers plz

Answer 1

To find the area of the polygon, we first need to determine the area of the entire rectangle formed by the outline of the letter L.

The rectangle will have a width of 15 units (the upper horizontal side) and a height of 13 units (the vertical side on the right).

Area of rectangle = width x height
Area of rectangle = 15 x 13
Area of rectangle = 195 square units

Next, we need to find the area of the inside of the letter L. To do this, we need to subtract the area of the white space inside the L from the total area of the rectangle.

The area of the white space inside the L can be visualized as a rectangle with a height of 7 (the thickness of the outline) and a width of 15-7 = 8 units.

Area of white space inside L = width x height
Area of white space inside L = 8 x 7
Area of white space inside L = 56 square units

Finally, we subtract the area of the white space inside the L from the total area of the rectangle to find the area of the polygon:

Area of polygon = Area of rectangle - Area of white space inside L
Area of polygon = 195 - 56
Area of polygon = 139 square units

Therefore, the area of the polygon is 139 square units.