Use the image to answer the 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
The polygon is in the shape of an upper L, which can be divided into two rectangles: one with dimensions 7 x 15 and another with dimensions 13 x 7.
The area of the first rectangle is 7 x 15 = 105 square units.
The area of the second rectangle is 13 x 7 = 91 square units.
The total area of the polygon is the sum of the areas of the two rectangles:
105 + 91 = 196 square units.
Therefore, the area of the polygon is 196 square units.
correct, ty
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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)
To find the area of the polygon, we need to first identify its shape. From the given information, we know that the polygon is in the shape of an upper-case letter H. We can divide the H into three rectangles and subtract the overlapping areas to find the total area of the polygon.
The first rectangle has dimensions 12 x 3, and its area is:
12 x 3 = 36
The second rectangle has dimensions 5 x 3, and its area is:
5 x 3 = 15
The third rectangle has dimensions 6 x 3, and its area is:
6 x 3 = 18
There are two overlapping areas: the area where the two vertical rectangles meet, and the area where the horizontal rectangle meets the vertical rectangles. These two areas are both rectangles, and each has dimensions 5 x 3. So, the total area of both overlapping rectangles is:
2 x (5 x 3) = 30
Now we can find the total area of the polygon by adding the areas of the three rectangles and subtracting the overlapping areas:
36 + 15 + 18 - 30 = 39
Therefore, the area of the polygon is 39 square units.
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
77 square units
77 square units
83 square units
83 square units
None of the response options is correct.
To find the area of the polygon, we need to first identify its shape. From the given information, we know that the polygon is in the shape of an upper-case letter H. We can divide the H into three rectangles and subtract the overlapping areas to find the total area of the polygon.
The first rectangle has dimensions 12 x 3, and its area is:
12 x 3 = 36
The second rectangle has dimensions 5 x 3, and its area is:
5 x 3 = 15
The third rectangle has dimensions 6 x 3, and its area is:
6 x 3 = 18
There are two overlapping areas: the area where the two vertical rectangles meet, and the area where the horizontal rectangle meets the vertical rectangles. These two areas are both rectangles, and each has dimensions 5 x 3. So, the total area of both overlapping rectangles is:
2 x (5 x 3) = 30
Now we can find the total area of the polygon by adding the areas of the three rectangles and subtracting the overlapping areas:
36 + 15 + 18 - 30 = 39
Therefore, the area of the polygon is 39 square units.