Question

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 third 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)

Answer 1

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