Question

Can you Solve question 12

Answer 1

The area of gable on the garage is 336 ft².

Explanation:

Let the area of garage gable be x.

It is given that both triangles are similar.

If two triangles similar, then there area and the square of there proportional sides are equal.

`\frac{\text{Area of house gable}}{\text{Area of garage gable}}=((42)^2)/(14^2)`

`\frac{\text{3024}}{\text{Area of garage gable}}=9`

`\frac{\text{3024}}{9}=\text{Area of garage gable}`

`336=\text{Area of garage gable}`

Therefore the area of gable on the garage is 336 ft².