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2 years ago

T

Mathematics

1 answer:

Marianna [84]2 years ago

7 0

Solution:

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.

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