What is the area of the composite figure?
11 4 4 7 5 4 9 5
To find the area of the composite figure, we need to break it down into smaller shapes and then find the individual areas.
The composite figure can be broken down into a rectangle, a triangle, and a trapezoid.
Rectangle:
Length = 11
Width = 4
Area = Length x Width = 11 x 4 = 44
Triangle:
Base = 4
Height = 7
Area = 1/2 x Base x Height = 1/2 x 4 x 7 = 14
Trapezoid:
Bases = 5 and 9
Height = 5
Area = 1/2 x (base1 + base2) x height = 1/2 x (5 + 9) x 5 = 1/2 x 14 x 5 = 35
Now, add the areas of the three shapes together to find the total area of the composite figure:
Total Area = 44 + 14 + 35 = 93
Therefore, the area of the composite figure is 93.
not correct
I apologize for the mistake. Let's try again to find the correct area of the composite figure.
The composite figure consists of a rectangle and a trapezoid.
Rectangle:
Length = 11
Width = 4
Area = Length x Width = 11 x 4 = 44
Trapezoid:
Bases = 4 and 9
Height = 5
Area = 1/2 x (base1 + base2) x height = 1/2 x (4 + 9) x 5 = 1/2 x 13 x 5 = 32.5
Now, add the areas of the rectangle and trapezoid together to find the total area of the composite figure:
Total Area = 44 + 32.5 = 76.5
Therefore, the correct area of the composite figure is 76.5. Thank you for your patience.