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alexira [117]
3 years ago
9

IN NEED OF ANSWER :( A flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the th

ird side is 15 feet more than the length of the shortest side. Find the dimensions if the perimeter is 147 feet. a=? (shortest side) b=? (second side) c=? (third side)
Mathematics
1 answer:
vichka [17]3 years ago
3 0

Answer:

a = 33ft

b= 66ft

c = 48 ft

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • a (shortest side)= a
  • b (second side)=2a (twice the length of the shortest side)
  • c (third side)= a+15 ( 15 feet more than the length of the shortest side)

Since:  

Perimeter = a+b+c

Replacing with the values given:

147 = a+2a+(a+15)

147 = a+2a+a+15

147-15 = a+2a+a

132 = 4a

132/4 = a

33 ft= a  

Substituting a =33 in the other expressions:

b=2a = 2(33) = 66 ft

c= a+15 = 33+15 = 48 ft

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