Area and Volume Unit Test
5 of 155 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
72 square units
72 square units
68 square units
68 square units
83 square units
83 square units
77 square units
77 square units
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To find the area of the polygon, we need to find the area of each individual shape within the outline of the letter H and then add them all together.
1. The rectangular shape in the middle has dimensions 5 x 3 = 15 square units.
2. The upper rectangular shape has dimensions 5 x 12 = 60 square units, but we need to subtract the area of the smaller rectangle inside it, which is 5 x 3 = 15 square units. So the area of the upper rectangle is 60 - 15 = 45 square units.
3. The lower rectangular shape has dimensions 6 x 12 = 72 square units.
4. Finally, add up the areas of all the shapes: 15 + 45 + 72 = 132 square units.
Therefore, the area of the polygon is 132 square units. None of the given responses match this calculation, so perhaps there was an error in the options provided.