Area and Volume Unit Test
8 of 158 of 15 Items
Question
Use the image to answer the question.
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
77 square units
77 square units
83 square units
83 square units
72 square units
72 square units
68 square units
To find the area of the polygon, we need to first find the areas of the individual shapes within the polygon and then add them up.
The two vertical sides of the outline of the letter H form rectangles with dimensions 12 by 3, so their total area is 12*3 + 12*3 = 36 + 36 = 72 square units.
The top horizontal part of the H is a rectangle with dimensions 5 by 3, so its area is 5*3 = 15 square units.
The inner side of the upper vertical part of the H is a rectangle with dimensions 12 by 5, so its area is 12*5 = 60 square units.
The inner side of the lower vertical part is a rectangle with dimensions 12 by 6, so its area is 12*6 = 72 square units.
Adding up all the areas: 72 (vertical sides) + 15 (top horizontal part) + 60 (inner side of upper vertical part) + 72 (inner side of lower vertical part) = 219 square units.
Therefore, the correct answer is not listed among the options provided. The closest answer is 72 square units, but that is not correct.