Problema Solution
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 28 feet more than the length of the shortest side. Find the dimensions if the perimeter is 188 feet.
Answer provided by our tutors
let 'a', 'b' and 'c' represent the sides of the triangle and a>b>c
one side is twice the length of the shortest side:
a = 2c
the third side is 28 feet more than the length of the shortest side:
b = 28 + c
the perimeter is 188 feet:
a + b + c = 188
by solving the system of equations:
a = 2c
b = 28 + c
a + b + c = 188
we find:
a = 80 ft
b = 68 ft
c = 40 ft
click here to see the step by step solution of the system of equations:
the dimensions of the triangle are: 80 ft, 68 ft and 40 ft.