1.Find the area of each of the eight shapes in the figure

Question

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

Answer 1

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.