How do you solve this. 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.

(1 point)
square units

Answer 1

To find the area of the polygon, we need to first determine the total area of the rectangle that surrounds the letter L.

The rectangle has a height of 13 units (the vertical side of the outline) and a width of 15 units (the upper horizontal side of the outline).

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

Next, we need to subtract the area of the white space within the letter L from the total area of the rectangle to find the area of the polygon.

The area of the white space within the letter L is:
Area of white space = Total area of rectangle - Area of outline of letter L
Area of white space = 195 - 2(7) x 13 - 7 x 15
Area of white space = 195 - 28 - 105
Area of white space = 62 square units

Therefore, the area of the polygon in square units is 62 square units.