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
1.99 square meters
1.99 square meters
3.98 square meters
3.98 square meters
1.19 square meters
1.19 square meters
2.38 square meters
To decompose the figure into simple shapes, we can divide it into a large triangle and two smaller triangles.
The dimensions of the large triangle are 14 meters by 8 meters, so the area of this triangle is 1/2 * 14 * 8 = 56 square meters.
The dimensions of each smaller triangle are 4 meters by 8 meters, so the total area of both smaller triangles is 2 * 1/2 * 4 * 8 = 32 square meters.
Therefore, the total area of the non-shaded area of one pair of wings is 56 + 32 = 88 square meters.
Since shiny nylon is usually sold in square meters, you will need 88 square meters of nylon to cover the non-shaded area of one pair of wings.
Therefore, the closest option is 3.98 square meters.