Answer:
Option C: 11 is the correct answer.
Step-by-step explanation:
Given that:
Length of base of isosceles triangle = b = x
The length of leg of triangle = a = 3x-7
Perimeter of triangle = 63
Perimeter of an isosceles triangle is given by
Perimeter = 2a + b
Putting values in the formula
63 = 2(3x-7) + x
63 = 6x-14+x
63 = 7x-14
63+14=7x-14+14
77=7x
7x=77
Dividing both sides by 7
[tex]\frac{7x}{7}=\frac{77}{7}\\x=11[/tex]
The value of x is 11.
Hence,
Option C: 11 is the correct answer.
