Answer:
PR = 20
Step-by-step explanation:
The perimeter is the sum of the 3 sides, thus
4z + z + 3 + 3z + 2 = 45 ← simplify left side
8z + 5 = 45 ( subtract 5 from both sides )
8z = 40 ( divide both sides by 8 )
z = 5
PR = 4z = 4 × 5 = 20
40
Using the triangle perimeter formula [P=2(l) + 2(w) / 2]:
45 = 2 (z + 3) + 2 (3z + 2) / 2
45 = 2z + 6 + 6z + 4 / 2
45 = 8z + 10 / 2
45 = 4z + 5
40 = 4z
z = 10
PR
4z
4 (10)
