Answer:
perimeter = 17 ft
Step-by-step explanation:
Consider te 2 triangles PQR and STU
PQ = ST = 4 ft
QR = TU = 6 ft
∠ PQR = ∠ STU
That is the triangles have 2 sides and an included angle ( the abgle formed by the two sides ) congruent (equal)
Then the triangles are congruent by the SAS postulate, then
PR = SU , that is
3y - 2 = y + 4 ( subtract y from both sides )
2y - 2 = 4 ( add 2 to both sides )
2y = 6 ( divide both sides by 2 )
y = 3
Then
SU = y + 4 = 3 + 4 = 7 ft = PR
the perimeter (P) is the sum of the 3 sides
P = 4 + 6 + 7 = 17 ft ← for both triangles
