Answer:
Area of the gable on the garage is 1008 square feet
Step-by-step explanation:
Given :
The area of the gable on the house = 3024 square feet.
Height of the gable on the house = 42 feet
Height of the gable on the garage = 14 feet
To Find:
Area of the gable on the garage
Solution:
Let x be the area of the gable on the garage
The ratio of their corresponding sides is called the scale factor.
Here the ratio of the height of the gable on the house and the garage is
42 : 14
On reducing , we get
3 : 1
Thus the area of the gables will also be in the same ratio
3 : 1
3024 : x
On cross multiplication
3x = 3024
[tex]x = \frac{3024}{3}[/tex]
x = 1008 square feet
