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?

(1 point)
Responses

2.38 square meters
2.38 square meters

1.19 square meters
1.19 square meters

3.98 square meters
3.98 square meters

1.99 square meters

1 answer

To find the total area of the non-shaded area of one pair of wings, we first decompose the figure into simple shapes. We can see that the two shaded triangles each have a base of 3m and a height of 4m, totaling 2 triangles.

The area of one triangle is:
Area = 1/2 * base * height
Area = 1/2 * 3m * 4m = 6m^2

Since there are 2 triangles, the total area of the shaded triangles is 2 * 6m^2 = 12m^2

Next, we calculate the area of the rectangle using the dimensions provided which are 5m by 3m.
Area = length * width
Area = 5m * 3m = 15m^2

Finally, we add the areas of the shaded triangles and the rectangle to get the total non-shaded area:
Total non-shaded area = 15m^2 + 12m^2 = 27m^2

Therefore, you would need 2.7 square meters of nylon to cover the non-shaded area of one pair of wings. None of the given options match this result, so it appears to be a trick question.