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LaShaundra is buying fence for two triangular sections of her garden.
How much fence would she need for ​
triangle DFG ?

___ft

LaShaundra is buying fence for two triangular sections of her garden How much fence would she need for triangle DFG ft class=

Respuesta :

carlosego

Answer: 80 feet.


Step-by-step 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:

[tex]sf=\frac{20ft}{4ft}\\sf=5ft[/tex]

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

[tex]DG=5*AC\\DG=5*7ft\\DG=35ft[/tex]

4. The perimeter of the triangle DFG is:

[tex]P_{DFG}=20ft+25ft+35ft=80ft[/tex]

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