Question

Find the value of × so that all the figures
have the same perimeters.

Answer 1

Answer:

x = 2

Perimeter of both = 16

Step-by-step explanation:

P(Left figure) = 2 * x + 2*6

P(Left figure) = 2x + 12

P(right figure) = 2*(2x + 2) + 2*x

P(right figure) = 4x + 4 + 2x

P(right figure) = 6x + 4

Now you want the perimeters to be the same

6x + 4 = 2x + 12                 Subtract 2 x from both sides

6x-2x + 4 = 12                   Combine

4x + 4 = 12                         Subtract 4  from both sides

4x-4  + 4 = 12 -4

4x = 8                                Divide by 4

4x/4 = 8/4

x = 2