Math- Use Area to Solve Problems Quick check
1.756 square inches
2. 128 square inches
3. 480 square inches
4 1 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 trapezoid and a triangle.
The trapezoid has a base of 2 meters, a top side of 3 meters, and a height of 1.5 meters. The area of a trapezoid is calculated with the formula: 1/2 * height * (base + top side).
Area of trapezoid = 1/2 * 1.5 * (2 + 3) = 1.5 * 2.5 = 3.75 square meters
The triangle has a base of 2 meters and a height of 1.5 meters. The area of a triangle is calculated with the formula: 1/2 * base * height.
Area of triangle = 1/2 * 2 * 1.5 = 1.5 square meters
Adding the areas of the trapezoid and the triangle gives us the total area of the non-shaded area of one pair of wings:
Total area = 3.75 + 1.5 = 5.25 square meters
Therefore, you will need 5.25 square meters of shiny nylon to cover the non-shaded area of one pair of wings.