Find the perimeter of the rhombus qrst.
a) . 38
b) . 76
c) . 56
d) . 361

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

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