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 30 feet more than the length of the shortest side. Find the dimensions of the perimeter is 146 feet.

the dimensions of the triangle are 29 feet, 58 feet and 59 feet.

Step-by-step explanation:

Let x represent the length of the shortest side.

Let y represent the length of the medium side.

Let z represent the length of the longest side(third).

One side twice the length of the shortest side. It means that

y = 2x

The third side is 30 feet more than the length of the shortest side.. This means that

z = x + 30

if the triangle's perimeter is 146 feet units, it means that

x + y + z = 146- - - - - - -- - - - -1

Substituting z = x + 30 and y = 2x into equation 1, it becomes

x + 2x + x + 30 = 146

4x = 146 - 30

4x = 116

x = 116/4

x = 29 feet

y = 2x = 2 × 29

y = 58 feet

z = x + 30 = 29 + 30

z = 59