Question

What is the area of the composite figure?

11 4 4 7 5 4 9 5

Answer 1

not correct

Answer 2

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.

Answer 3

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.