Above are two different models of the same triangle. If the area of the model on the left is 22 sq cm, what is the area of the model on the right?
Since both models represent the same triangle, their areas are proportional to the square of their corresponding sides. Let the sides of the model on the left be 2x, 3x, and 4x. Therefore, the area of the model on the left is:
Area = (1/2)(2x)(3x) = 3x^2 = 22 sq cm
Therefore, x^2 = 22/3 = 7.33
Now, the sides of the model on the right are 4x, 6x, and 8x. The area of the model on the right can be calculated as:
Area = (1/2)(4x)(6x) = 12x^2 = 12 * 7.33 = 87.96 sq cm
Therefore, the area of the model on the right is 87.96 sq cm.