Question

1 cm = 5 ft 1 cm = 2.5 ft Above are two different models of the same triangle. If the area of the model on the left is 22 sq am, what is the area of the model on the night?

Answer 1

88 cm²

Step-by-step explanation:

First, we need to calculate the ratio between the two different models. So, for 1 cm we get:

`\frac{5\text{ ft}}{2.5\text{ ft}}=2`

So, the scale factor for the model of the right compared to the model of the left is 2.

Then, is the area of one model is equal to A, the area of a scale model will be equal to k²A, where k is the scale factor.

Therefore, if the area of the model on the left is 22 cm², the area of the model on the right is:

`k^2\cdot22=2^2\cdot22=4\cdot22=88`

So, the area of the model on the right is 88 cm²