Question 5%0D%0AA)%0D%0AUse the image to answer the question.%0D%0A%0D%0A%0D%0A%0D%0AYou 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?%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A3.98 square meters%0D%0A3.98 square meters%0D%0A%0D%0A1.19 square meters%0D%0A1.19 square meters%0D%0A%0D%0A2.38 square meters%0D%0A2.38 square meters%0D%0A%0D%0A1.99 square meters
To find the total area of the non-shaded area of one pair of wings, we first need to decompose the figure into simple shapes.
From the image, we can see that one pair of wings can be decomposed into a rectangle and two triangles.
The dimensions of the rectangle are 2.5 meters by 2 meters, giving an area of 2.5 * 2 = 5 square meters.
The dimensions of one of the triangles are 1.5 meters by 2 meters, giving an area of 0.5 * 2 = 1 square meter.
Since there are two triangles, the total area of the triangles is 2 * 1 = 2 square meters.
Therefore, the total area of the non-shaded area of one pair of wings is 5 (rectangle) + 2 (triangles) = 7 square meters.
However, since we are only covering the non-shaded area with nylon, we need to subtract the area of the shaded region, which is 3 square meters.
Therefore, the area of nylon needed to cover the non-shaded area of one pair of wings is 7 - 3 = 4 square meters.
So, the correct response is:
3.98 square meters