Use Area to Solve Problems Quick Check%0D%0A5 of 55 of 5 Items%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0AQuestion%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%0A2.38 square meters%0D%0A2.38 square meters%0D%0A%0D%0A1.99 square meters%0D%0A1.99 square meters%0D%0A%0D%0A1.19 square meters%0D%0A1.19 square meters%0D%0A%0D%0A3.98 square meters
To find the area of the non-shaded area of the wings, we need to decompose the figure into simple shapes.
The figure can be decomposed into a rectangle and a triangle.
The area of the rectangle = 8.5 cm x 7.5 cm = 63.75 square cm
The area of the triangle = 1/2 x base x height = 1/2 x 7.5 cm x 3 cm = 11.25 square cm
Therefore, the total area of the non-shaded area of one pair of wings = 63.75 square cm + 11.25 square cm = 75 square cm
To convert square cm to square meters, we divide by 10000 (since 1 square meter = 10000 square cm)
75 square cm / 10000 = 0.0075 square meters
Hence, you will need 0.0075 square meters of nylon to cover the non-shaded area of one pair of wings.
Therefore, the closest answer choice is 1.19 square meters.