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 25 feet more than the length of the shortest side. find the dimensions if the perimeter is 141 feet. what is the length of the shortest side? the length of the shortest side is

Explanation:

Step1: Let the length of the shortest side be $x$.

Let the sides be $x$, $2x$, $x + 25$.

Step2: Set up perimeter equation.

The perimeter of a triangle is the sum of its sides. So $x+2x+(x + 25)=141$.

Step3: Combine like - terms.

$4x+25 = 141$.

Step4: Isolate the variable term.

Subtract 25 from both sides: $4x=141 - 25$, so $4x=116$.

Step5: Solve for $x$.

Divide both sides by 4: $x=\frac{116}{4}=29$.

Answer:

29