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 27 feet more than the length of the shortest side. Find the dimensions if the perimeter is 155 feet.

36, 72, 59 ft

Step-by-step explanation:

Let the length of the shortest side of the triangular flower bed be

x

feet.

Then the length of the second side is

2

x

and

the length of the third side is

x

+

23

The given perimeter is

167

f

t

hence:

x

+

2

x

+

x

+

23

=

167

4

x

+

23

=

167

4

x

=

167

−

23

4

x

=

144

x

=

144

4

=

36

2

x

=

2

⋅

36

=

72

x

+

23

=

36

+

23

=

59

The length of the three sides of the triangular flower bed are

36

f

t

,

72

f

t

and

59

f

t

.