Question

A flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the third side is 1212 feet more than the length of the shortest side. Find the dimensions if the perimeter is 156156 feet.

Answer 1

Shortest side: 36 feet.

2nd side: 72 feet.

3rd side: 48 feet.

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
`2x`.

The third side is 12 feet more than the length of the shortest side. So the length of the 3rd side would be
`x+12`.

We are also told that perimeter is 156 feet. We can represent this information in an equation as:

`x+2x+x+12=156`

`4x+12=156`

`4x+12-12=156-12`

`4x=144`

`(4x)/(4)=(144)/(4)`

`x=36`

Therefore, the length of the shortest side is 36 feet.

The length of the 2nd side would be
`2x\Rightarrow 2(36)=72`.

Therefore, the length of the 2nd side is 72 feet.

The length of the 3rd side would be
`x+12\Rightarrow 36+12=48`.

Therefore, the length of the 3rd side is 48 feet.