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 tha
n the length of the shortest side. Find the dimensions if the perimeter is 181 feet.
1 answer:
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
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