Question

LaShaundra is buying fence for two triangular sections of her garden.

How much fence would she need for ​
triangle DFG ?

___ft

Answer 1

Answer: 80 feet.

Explanation:

1. As you can see in the figure, triangle ABC and the triangle DFG are similar.

2. The scale of factor of triangle ABC to triangle DFG is the following:

`sf=(20ft)/(4ft)\\sf=5ft`

3. Therefore, the lenght of the side DG of the trinagle DFG is:

`DG=5*AC\\DG=5*7ft\\DG=35ft`

4. The perimeter of the triangle DFG is:

`P_(DFG)=20ft+25ft+35ft=80ft`

5. Therefore, she would need 80 feet of fence.