The picture shows an orange parallelogram split into 8 equal parts and a green parallelogram split into 8 equal parts. Drag figures so that the total area is equal to the number given.
(The answer is 3 triangles and 2 trapezoids!!)
I assume you have dragged the areas as needed.
b r u h
To solve this problem, we need to determine how to rearrange the figures in order to achieve the desired total area. Let's break it down step by step:
1. Start by examining the orange parallelogram. Since it is split into 8 equal parts, each part represents 1/8th of the total area of the orange parallelogram. Therefore, the total area of the orange parallelogram is equal to 8/8 or 1 whole unit.
2. Similarly, the green parallelogram is also split into 8 equal parts. Therefore, the total area of the green parallelogram is also 8/8 or 1 whole unit.
3. Now, we need to rearrange the figures to achieve a total area equal to the number given, which is 3 triangles and 2 trapezoids.
4. Each triangle has an area equal to 1/2 of a parallelogram part. This means that 3 triangles would have an area equal to (3 * 1/2) = 3/2 or 1.5 units.
5. Each trapezoid has an area equal to a parallelogram part. Therefore, 2 trapezoids would have an area equal to (2 * 1) = 2 units.
6. To achieve a total area of 3 triangles and 2 trapezoids, we can place the 3 triangles together, as they have a combined area of 1.5 units. Then, we can place the 2 trapezoids together, as they have a combined area of 2 units.
7. After rearranging, the combined area of the triangles and trapezoids will be 1.5 + 2 = 3.5 units.
8. Since the desired total area is given as 3 units, we need to remove some area. Subtract 0.5 units (3.5 - 3 = 0.5) by removing one triangle or making one trapezoid smaller.
Therefore, the answer is: 3 triangles and 2 trapezoids, with a total area of 3 units.