An illustration shows the outline of letter upper H. The two vertical sides of the outline letter upper H have length 12 and width 3. The horizontal part across the middle has length 5. The inner side of the upper vertical part of the H has length 5. The inner side of the lower vertical part has length 6.
What is the area of the polygon?
(1 point)
Responses
72 square units
72 square units
68 square units
68 square units
83 square units
83 square units
77 square units
77 square units
To find the area of the polygon, we need to break it down into smaller shapes and add up their areas.
The upper vertical part of the H can be split into a rectangle with dimensions 3 x 5 and a triangle with base 3 and height 5. The total area of this part is (3*5) + (0.5*3*5) = 15 + 7.5 = 22.5 square units.
The lower vertical part of the H can be split into a rectangle with dimensions 3 x 6 and a triangle with base 3 and height 6. The total area of this part is (3*6) + (0.5*3*6) = 18 + 9 = 27 square units.
Finally, the horizontal part of the H is a rectangle with dimensions 12 x 5, so its area is 12 * 5 = 60 square units.
Adding up the areas of the three parts, we get 22.5 + 27 + 60 = 109.5 square units.
Therefore, the area of the polygon is 109.5 square units.
what is the answer
77
72
68
or
83