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 19 feet more than the length of the shortest side. Find the dimensions if the perimeter is 143 feet.

shortest side --- x

2nd side ---- 2x
3rd side ---- x+19

solve for x, the sub into my definitions

x + 2x + x+19 = 143

Let's denote the shortest side of the triangle as "x".

According to the question, one side of the triangle is twice the length of the shortest side, which means the second side is 2x.

The third side is described as 19 feet more than the length of the shortest side, so it is x + 19.

The perimeter of a triangle is the sum of the lengths of all three sides, which is given as 143 feet. Therefore, we can set up the equation:

x + 2x + (x + 19) = 143

Combining like terms, we get:

4x + 19 = 143

Subtracting 19 from both sides:

4x = 124

Dividing both sides by 4:

x = 31

So, the shortest side of the triangle is 31 feet.

Now, we can find the length of the other sides:

One side is twice the length of the shortest side, which is 2 * 31 = 62 feet.

The third side is 19 feet more than the shortest side, which is 31 + 19 = 50 feet.

Therefore, the dimensions of the triangle are: 31 feet, 62 feet, and 50 feet.

To solve this problem, we need to use the given information about the triangle's sides and perimeter to set up an equation, and then solve for the dimensions of the flower bed.

Let's denote the length of the shortest side as x feet.

According to the problem, one side of the triangle is twice the length of the shortest side. So the second side would be 2x feet.

The third side is given as 19 feet more than the length of the shortest side. This makes the length of the third side (x + 19) feet.

The perimeter of a triangle is the sum of the lengths of its sides. In this case, the perimeter is given as 143 feet.

So, we can set up the equation:

x + 2x + (x + 19) = 143

Simplifying the equation:

4x + 19 = 143

Subtracting 19 from both sides:

4x = 143 - 19

4x = 124

Dividing both sides by 4:

x = 124 / 4

x = 31

Now that we have found the value of x, we can find the dimensions of the flower bed.

The shortest side is x = 31 feet.
The second side is 2x = 2 * 31 = 62 feet.
The third side is x + 19 = 31 + 19 = 50 feet.

Therefore, the dimensions of the flower bed are 31 feet, 62 feet, and 50 feet.