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
1.99 square meters
1.99 square meters
3.98 square meters
1.19 square meters
To decompose the figure into simple shapes, we can see that each wing consists of a rectangle and two right triangles.
The dimensions of the rectangle are 1m x 1.2m = 1.2 square meters.
The dimensions of each right triangle are 1m x 0.5m x 0.5m = 0.25 square meters each.
So for both wings, we have 2 x (1.2 + 0.25) = 2.9 square meters total.
Since we only want to cover the non-shaded area of the wings, we subtract the shaded area: 2.9 - 1.71 = 1.19 square meters.
Therefore, you will need 1.19 square meters of nylon to cover the non-shaded area of one pair of wings.