Find the perimeter of the rhombus QRST.
A) . 38
B) . 76
C) . 56
D) . 361

Answer: B) 76
Step-by-step explanation:
The perimeter P of the rhombus is equal to one of its sides times 4, since every side has the same lenght. This means that QR=RS=ST=TQ. Replacing QR and RS values:
QR = RS
2x - 9 = x + 5
2x - x = 5 + 9
x = 14
So the side has a lenght of x + 5 = 14 + 5 = 19. The perimeter P is then:
P = 4 x 19
P = 76
Answer:
It is 76
Step-by-step explanation:
2x – 9 = x + 5
x = 14
Each side = 2(14) – 9 = 19
Perimeter = 19 + 19 + 19 + 19 = 76