Math- Use Area to Solve Problems Quick check
1.756 square inches
2. 128 square inches
3. 480 square inches
4 12 triangles and 12 trapezoids
5 1.99 square meters
100%
# 5 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?
To find the total area of the non-shaded area of one pair of wings, we need to decompose the figure into simple shapes.
The figure can be decomposed into a rectangle and two right triangles.
The rectangle has dimensions 2.5 meters by 1.2 meters, so its area is 2.5 * 1.2 = 3 square meters.
Each of the right triangles has a base of 2.5 meters and a height of 1.2 meters, so the area of one right triangle is (1/2) * 2.5 * 1.2 = 1.5 square meters. Since there are two right triangles, the total area of both right triangles is 2 * 1.5 = 3 square meters.
Therefore, the total area of the non-shaded area of one pair of wings is 3 + 3 = 6 square meters.
You will need 6 square meters of nylon to cover the non-shaded area of one pair of wings.