Answer:
The length of each side of the triangular collage:
a = smallest side = 3 feet
b = other side(second side) = 5 feet
c = Longest side = 6 feet
Step-by-step explanation:
She has 14 feet of edging to go around the collage.
14 feet = Perimeter of the triangle
The Perimeter of a Triangle = a + b + c where
a = smallest side
b = other side(second side)
c = Longest side
From the question, we are told that:
If the longest side is twice the smallest
c = 2a
The other side is four less than three times the smallest,
The other side = b
b = 3 × a - 4
b = 3a - 4
Hence,
P = a + b + c
14 = a + 3a - 4 + 2a
14 = a + 3a + 2a -4
14 = 6a - 4
Collect like terms
14 + 4 = 6a
18 = 6a
a = 18/6
a = 3ft
Therefore the smallest side = 3
The Longest side(c) = 2a
c = 2 × 3
c = 6ft
The other side(b) = 3a - 4
= 3(3) - 4
= 9 - 4
= 5 feet.
Therefore, the length of each side of the triangular collage:
a = smallest side = 3 feet
b = other side(second side) = 5 feet
c = Longest side = 6 feet
