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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 25 more than the length of the shortest side. Find the dimensions if the perimeter is 181 feet.

Respuesta :

adioabiola

Answer:

Side A = 39 feet

Side B = 78 feet

Side C = 64 feet

Step-by-step explanation:

Perimeter of a triangle = side A + side B + side C

Perimeter = 181 feet

Side A = x feet

Side B = 2x feet

Side C = x + 25 feet

Perimeter of a triangle = side A + side B + side C

181 = x + 2x + x + 25

181 = 4x + 25

subtract 25 from both sides

181 - 25 = 4x + 25 - 25

156 = 4x

Divide both sides by 4

x = 156 / 4

= 39

x = 39 feet

Side A = x feet

= 39 feet

Side B = 2x feet

= 2(39)

= 78 feet

Side C = x + 25 feet

= 39 + 25

= 64 feet