You are making a dragonfly kite. You want to cover the non-shaded area of the wings with shiny nylon.
The dimensions of one pair of wings are shown. Decompose the figure into simple shapes. How many square meters of nylon will you need to cover the non-shaded area of one pair of wings?
Number 1: 756 square in
Number 2: 128 square in
Number 3: 480 square in
Number 4: 12 triangles / 12 trapezoids
Number 5: 1.99 square meters
Thank you for the information provided. If you like to calculate the total area of non-shaded parts of wings by adding the areas of each shape, we can use the given information as follows:
1. 756 square inches
2. 128 square inches
3. 480 square inches
4. There are 12 triangles or 12 trapezoids in the figure. To calculate the area of each individual shape, the total area of triangles and trapezoids combined is 12.
5. 1.99 square meters
To find the total area, we sum up the areas of each shape:
Total area = 756 + 128 + 480 + 12 (triangles/trapezoids) + 1.99
Total area = 1377 square inches + 12 (triangles/trapezoids) + 1.99 square meters
You would need a total of 1377 square inches + 12 triangles/trapezoids + 1.99 square meters of shiny nylon to cover the non-shaded parts of the wings.
To simplify the figure, we can decompose the wings into a rectangle and two right triangles.
Let's denote the dimensions of the rectangle as length = 2 meters and width = 1 meter. The area of the rectangle is 2 * 1 = 2 square meters.
The two right triangles have base = 1 meter and height = 1 meter each. The area of one triangle is (1 * 1) / 2 = 0.5 square meters. Since there are two triangles, the total area of both triangles is 2 * 0.5 = 1 square meter.
Therefore, the total area of the non-shaded part of one pair of wings is 2 (rectangle) + 1 (triangles) = 3 square meters.
You will need 3 square meters of shiny nylon to cover the non-shaded area of one pair of wings.