1.Find the area of each of the eight shapes in the figure
2.Question
What is the total area of this composite figure?(2 points)
Responses
215 square units
215 square units
385 square units
385 square units
400 square units
400 square units
417 square units
To answer the question, we need to add up the areas of the eight shapes in the figure.
Shape 1: Rectangle with length 10 and width 15
Area = Length x Width = 10 x 15 = 150 square units
Shape 2: Triangle with base 8 and height 6
Area = 1/2 x base x height = 1/2 x 8 x 6 = 24 square units
Shape 3: Square with side length 6
Area = Side length^2 = 6^2 = 36 square units
Shape 4: Triangle with base 5 and height 9
Area = 1/2 x base x height = 1/2 x 5 x 9 = 22.5 square units
Shape 5: Parallelogram with base 8 and height 6
Area = base x height = 8 x 6 = 48 square units
Shape 6: Triangle with base 7 and height 10
Area = 1/2 x base x height = 1/2 x 7 x 10 = 35 square units
Shape 7: Rectangle with length 18 and width 5
Area = Length x Width = 18 x 5 = 90 square units
Shape 8: Triangle with base 6 and height 4
Area = 1/2 x base x height = 1/2 x 6 x 4 = 12 square units
Total Area = 150 + 24 + 36 + 22.5 + 48 + 35 + 90 + 12 = 417 square units
Therefore, the total area of the composite figure is 417 square units.