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 13 feet more than the length of the second - side. find the dimensions if the perimeter is 145 feet. what is the length of the shortest side? the length of the shortest side is 33 feet. what is the length of the second side? the length of the second side is

Explanation:

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

The first - side is $2x$ feet (since one side is twice the length of the shortest side), and the third - side is $(x + 13)$ feet (since the third side is 13 feet more than the length of the shortest side).

Step2: Set up the perimeter equation.

The perimeter of a triangle is the sum of the lengths of its sides. So, $x+2x+(x + 13)=145$.

Step3: Combine like - terms.

Combining the $x$ terms on the left - hand side gives $4x+13 = 145$.

Step4: Solve for $x$.

Subtract 13 from both sides: $4x=145 - 13=132$. Then divide both sides by 4: $x=\frac{132}{4}=33$ feet.

Step5: Find the length of the second side.

The second side is $2x$. Substitute $x = 33$ into $2x$, we get $2\times33 = 66$ feet.

Answer:

66 feet