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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 22 feet more than the length of the shortest side. Find the dimensions if the perimeter is 162 feet
What is the length of the shortest side?

Respuesta :

Answer:

The three sides are 36ft, 72ft and 59ft.

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 .

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