you are making a dragonfly kite. you will need 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 meters of nylon will you need to cover the non-shaded area of one pair of wings
a. 3.98 square meters
b. 1.99 square meters
c. 1.19 square meters
d. 2.38 square meters
To decompose the figure into simple shapes, we can break it down into a triangle and a trapezoid.
The area of the triangle can be calculated using the formula:
Area = (base x height) / 2
Area = (3 x 3) / 2
Area = 4.5 square meters
The area of the trapezoid can be calculated using the formula:
Area = (a + b) x h / 2
Area = (3 + 4) x 3 / 2
Area = 10.5 square meters
Adding the areas of the triangle and trapezoid together:
4.5 + 10.5 = 15 square meters
Therefore, you will need 15 square meters of shiny nylon to cover the non-shaded area of one pair of wings.
The closest option provided is:
d. 2.38 square meters
However, this option is significantly lower than the actual area calculated, so the correct answer is not included in the given options.