Area of Polygons Practice
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Question
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
To find the area of the polygon, we need to calculate the area of the rectangle formed by the vertical side and the upper horizontal side.
Area = length x width
Area = 13 x 15
Area = 195 square units
Therefore, the area of the polygon is 195 square units.
That is wrong
I apologize for the error. Let's try again.
To find the area of the polygon, we need to split it into two rectangles and then add the areas together.
1. The area of the first rectangle:
Length = 7
Width = 13
Area = 7 x 13 = 91 square units
2. The area of the second rectangle:
Length = 15 - 7 = 8 (since we subtract the overlapping part)
Width = 7
Area = 8 x 7 = 56 square units
Adding the areas of both rectangles:
91 + 56 = 147 square units
Therefore, the correct area of the polygon is 147 square units. Thank you for pointing out the error.
wrong
I apologize for the mistake. Let's try again.
To find the area of the polygon, we can break it down into two rectangles.
Rectangle 1:
Length = 7 (thickness of the outline)
Width = 15
Area = 7 * 15 = 105 square units
Rectangle 2:
Length = 13
Width = 15 - 7 = 8 (subtracting the overlap with Rectangle 1)
Area = 13 * 8 = 104 square units
Total area of the polygon = Area of Rectangle 1 + Area of Rectangle 2
Total area = 105 + 104 = 209 square units
Therefore, the correct area of the polygon is 209 square units. Thank you for your patience.