The largest side of the triangle is 10 feet longer than the smallest side. The third side is twice the smallest side. The perimeter of the garden is 80 feet.

Question

 The largest side of the triangle is 10 feet longer than the smallest side. The third side is twice the smallest side. The perimeter of the garden is 80 feet.

Answer 1

Do you want us to find the length of each side?  Actually, the longest side has to be twice the smallest side; and the third side has to be 10 feet longer than the shortest side. Otherwise, it doesn't make any sense.

 

let x = the length of the smallest side

Let x + 10 = the length of the third side

Let 2x = the length of the longest side

 

P = a + b + c

80 = x + (x+10) + 2x

80 = 4x + 10

70 = 4x

x = 17 1/2 feet

x + 10 = 27 1/2 feet

2x = 35 feet

 

Answer 2

s represents the shortest side

s + 10 represents the longest side

2s represents the third side

 

s + s + 10 + 2s = 80

 

Can you solve for s and answer?