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 29 feet more than the length of the shortest side. Find the dimensions if the perimeter is 141 feet.

What is the length of the shortest side?

The length of the shortest side is

(a) cubic feet.

(b) feet.

(c) square feet.

Answer 1

The length of the shortest side of the triangle is 28 feet.

Step-by-step explanation:

To find the length of the shortest side of the triangle, let's denote the shortest side as x. According to the information given, the second side is twice the length of the shortest side, so it is 2x. The third side is 29 feet more than the length of the shortest side, so it is x + 29.

Since the perimeter of the triangle is 141 feet, we can set up the equation: x + 2x + (x + 29) = 141

Simplifying the equation, we get 4x + 29 = 141. Solving for x, we subtract 29 from both sides and then divide both sides by 4. The shortest side, x, is 28 feet.