Question

A vacant city law is being turned into a neighborhood Garden the neighbors want to fence in a triangular section of the lot and plant a flower tree there the longest side of a triangular section is 4 ft shorter than twice the shorter side the third side is 3 feet longer than the shortest side the perimeter is 59 ft how long is each side

Answer 1

Answer: the length of the shortest side is 15ft.

the length of the shorter or third side is 18ft

the length of the longest side is 26ft

Step-by-step explanation:

Let x represent the length of the shortest side of the triangular section.

Let y represent the length of the third or shorter side of the triangular section.

Let z represent the length of the longest side of the triangular section.

The perimeter of the triangular section is 59 ft. It means that

x + y + z = 59 - - - - - - - - - -1

the longest side of a triangular section is 4 ft shorter than twice the shorter side. It means that

z = 2x - 4

the third side is 3 feet longer than the shortest side. It means that

y = x + 3

Substituting z = 2x - 4 and y = x + 3 into equation 1, it becomes

x + x + 3 + 2x - 4 = 59

4x - 1 = 59

4x = 59 + 1 = 60

x = 60/4 = 15ft

y = x + 3 = 15 + 3

y = 18 ft

z = 2x - 4 = 2 × 15 - 4

z = 26