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 15 feet more than the length of the shortest side. find the dimensions if the perimeter is 119 feet. what is the length of the shortest side? the length of the shortest side is 26 feet. what is the length of the second side? the length of the second side is 52 feet. what is the length of the third side? the length of the third side is

Explanation:

Step1: Let the shortest side be $x$.

The second - side is $2x$ and the third - side is $x + 15$.

Step2: Set up perimeter equation.

The perimeter of a triangle is the sum of its sides. So $x+2x+(x + 15)=119$.

Step3: Combine like - terms.

$4x+15 = 119$.

Step4: Isolate the variable term.

Subtract 15 from both sides: $4x=119 - 15=104$.

Step5: Solve for $x$.

Divide both sides by 4: $x=\frac{104}{4}=26$.

Step6: Find the length of the third side.

Since the third side is $x + 15$ and $x = 26$, then the third side is $26+15 = 41$.

Answer:

41 feet