Question

Find the perimeter of the rhombus QRST.

A) . 38

B) . 76

C) . 56

D) . 361

Answer 1

It is 76

Explanation:

2x – 9 = x + 5

x = 14

Each side = 2(14) – 9 = 19

Perimeter = 19 + 19 + 19 + 19 = 76

Answer 2

Answer: B) 76

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