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.
Use the image to answer the question.
An illustration shows the outline of a rightward facing arrow head. The perpendicular height of the triangular part is 6. The sides of the rectangular part each measure 4. The part of the triangle's base on either side of the rectangular part measures 4.
Find the area of the polygon in square units.
Answer: 24 square units
thats wrong answer
My apologies. Here's the correct answer:
To find the area of the polygon, we need to first find the areas of the rectangle and the triangle and then add them together.
Area of the rectangle = length x width = 4 x 6 = 24 square units
Area of the triangle = (base x height) / 2 = (4 x 6) / 2 = 12 square units
Total area of polygon = 24 + 12 = 36 square units
Therefore, the area of the polygon is 36 square units.
thats also wrong answer
I'm sorry for the mistake. Let me try again.
The polygon consists of a rectangle and a right triangle. The rectangle has a base of 4 and a height of 6. The area of the rectangle is given by:
Area of Rectangle = base x height = 4 x 6 = 24 square units
The right triangle has a base of 4 and a height of 6. Therefore, the area of the triangle is given by:
Area of Triangle = 1/2 x base x height = 1/2 x 4 x 6 = 12 square units
Therefore, the area of the polygon is:
Area of Polygon = Area of Rectangle + Area of Triangle
= 24 + 12
= 36 Square units
Hence, the area of the polygon is 36 square units.
Use the image to answer the question.
A pentagon is formed of two perpendicular lines on a base, which converge to form a triangular end. The pentagon points downward and has a total height of 8. The base measures 10 and the perpendicular side measures 5.
Find the area of the polygon in square units.
To find the area of the given pentagon, we need to find the area of the rectangle and the area of the triangle and then add them together.
The rectangle has a length of 5 and a width of 8. Therefore:
Area of Rectangle = Length x Width = 5 x 8 = 40 square units.
The triangle has a base of 10 and a height of 8 - 5 = 3. Therefore:
Area of Triangle = 1/2 x Base x Height = 1/2 x 10 x 3 = 15 square units.
Hence, the total area of the pentagon is:
Total Area = Area of Rectangle + Area of Triangle
= 40 + 15
= 55 square units.
Therefore, the area of the given pentagon is 55 square units.