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)
1.99 square meters
3.98 square meters
2.38 square meters
1.19 square meters
To decompose the figure into simple shapes, we can divide the wings into a rectangle and two right triangles.
First, we can find the area of the rectangle:
Length = 0.9 meters
Width = 0.6 meters
Area of rectangle = length x width
Area of rectangle = 0.9 x 0.6
Area of rectangle = 0.54 square meters
Next, we can find the area of one right triangle:
Base = 0.9 meters
Height = 0.3 meters
Area of triangle = (base x height) / 2
Area of triangle = (0.9 x 0.3) / 2
Area of triangle = 0.27 / 2
Area of triangle = 0.135 square meters
Since there are two right triangles, we need to multiply the area of one triangle by 2:
Total area of both right triangles = 0.135 x 2
Total area of both right triangles = 0.27 square meters
Now, we can find the total area of the wings by adding the area of the rectangle and the total area of both right triangles:
Total area of wings = area of rectangle + total area of both right triangles
Total area of wings = 0.54 + 0.27
Total area of wings = 0.81 square meters
Therefore, you will need 0.81 square meters of nylon to cover the non-shaded area of one pair of wings.
Since this option is not provided in the answer choices, we may have miscalculated the measurements or the options given may be incorrect.