Question

T

N
3. Find the perimeter of AABC.
B
24
6%-8
24
A
'C
2x + 11
G
71
7x - 19
F

Answer 1

Note that:

• AB = EF
• BC = EG = 6x - 8
• 7x - 19 = 2x + 11
• Perimeter of triangle: 24 + 2x + 11 + 6x - 8

Solving for x:

• 7x - 19 = 2x + 11
• => 7x - 2x = 19 + 11
• => 5x = 30
• => x = 30/5 = 6

Substitute the value of x into the expression (24 + 2x + 11 + 6x - 8):

• 24 + 2x + 11 + 6x - 8
• => 24 + 2(6) + 11 + 6(6) - 8
• => 24 + 12 + 11 + 36 - 8
• => 24 + 12 + 3 + 36
• => 75 units

The perimeter of the triangle ABC is 75 units.