Respuesta :
Answer:
Shortest side: 36 feet.
2nd side: 72 feet.
3rd side: 48 feet.
Step-by-step explanation:
Let x represent the length of the shortest side.
We have been given that a flower bed is in the shape of a triangle with one side twice the length of the shortest​ side. So the length of the 2nd side would be [tex]2x[/tex].
The third side is 12 feet more than the length of the shortest side. So the length of the 3rd side would be [tex]x+12[/tex].
We are also told that perimeter is 156 feet. We can represent this information in an equation as:
[tex]x+2x+x+12=156[/tex]
[tex]4x+12=156[/tex]
[tex]4x+12-12=156-12[/tex]
[tex]4x=144[/tex]
[tex]\frac{4x}{4}=\frac{144}{4}[/tex]
[tex]x=36[/tex]
Therefore, the length of the shortest side is 36 feet.
The length of the 2nd side would be [tex]2x\Rightarrow 2(36)=72[/tex].
Therefore, the length of the 2nd side is 72 feet.
The length of the 3rd side would be [tex]x+12\Rightarrow 36+12=48[/tex].
Therefore, the length of the 3rd side is 48 feet.
