Use the image to answer the question. 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 1.19 square meters 1.19 square meters 3.98 square meters 3.98 square meters 2.38 square meters 2.38 square meters 1.99 square meters
To decompose the figure into simple shapes, we can see that the wings consist of a triangle and a rectangle. To find the total area of the non-shaded area of one pair of wings, we can calculate the area of the triangle and the rectangle separately and then add them together.
Triangle:
Base = 5 cm
Height = 25 cm
Area = 0.5 * base * height
Area = 0.5 * 5 cm * 25 cm
Area = 62.5 cm²
Rectangle:
Length = 10 cm
Width = 25 cm
Area = length * width
Area = 10 cm * 25 cm
Area = 250 cm²
Total area of one pair of wings = 62.5 cm² + 250 cm²
Total area of one pair of wings = 312.5 cm²
To convert the area to square meters:
1 m² = 10000 cm²
312.5 cm² = 312.5 / 10000 m²
312.5 cm² = 0.03125 m²
Therefore, you will need 0.03125 square meters of nylon to cover the non-shaded area of one pair of wings. This is approximately equal to 0.03 m². None of the provided options match exactly, but the closest option is 0.03 square meters.