Question
If x = 12 units, y = 4 units, and h = 7 units, find the area of the rhombus shown above using decomposition.
Answers
GPT 3.5
To find the area of the rhombus, we can decompose it into four right triangles and then find the total area of the rhombus by summing the areas of the four triangles.
Each right triangle has a base and height that are equal to y and h, so the area of each triangle can be calculated as (1/2) * y * h.
The total area of the rhombus is equal to the sum of the areas of the four triangles:
Area = 4 * (1/2) * y * h
Area = 4 * (1/2) * 4 * 7
Area = 4 * 2 * 7
Area = 56 square units
Therefore, the area of the rhombus shown above is 56 square units.
Each right triangle has a base and height that are equal to y and h, so the area of each triangle can be calculated as (1/2) * y * h.
The total area of the rhombus is equal to the sum of the areas of the four triangles:
Area = 4 * (1/2) * y * h
Area = 4 * (1/2) * 4 * 7
Area = 4 * 2 * 7
Area = 56 square units
Therefore, the area of the rhombus shown above is 56 square units.