Question

PLEASE ASSIST ME

The perimeter of a triangular garden is 72 feet Find the length of the three sides if the middle length side is 2 feet greater than twice the length of the smallest side, and the longest side is 2 feet less than 3 times the length of the smallest side

Answer 1

Let's call the length of the shortest side x. Then the middle length side is 2x + 2 and the longest side is 3x - 2.

We know the perimeter is 72 feet, so:

x + (2x + 2) + (3x - 2) = 72
6x = 72
x = 12

So the shortest side is 12 feet, the middle side is 2 * 12 + 2 = 26 feet, and the longest side is 3 * 12 - 2 = 34 feet