Question

CAN I PLEASE HAVE THE ANSWER

Answer 1

When $x=1$ the perimeters of both figures will be equal.

Step-by-step explanation:

Step 1:

The triangle has side lengths of $x+1, x+4,$ and $x+4$.

The perimeter of the triangle is the sum of the lengths of the sides.

The perimeter of the triangle $= x+1+x+4+x+4 = 3x + 9.$

Step 2:

The perimeter of the hexagon is 6 times its side length. The side length $=2x.$

The perimeter of the hexagon$= 6(2x) = 12x.$

Step 3:

To determine the value at which both the perimeters are equal, we equate both the equations to each other.

$3x+9 = 12x, 9 = 9x, x =1.$

So when $x=1$ the perimeters of both figures will be equal.