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)
1 answer:
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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