Question

Sandra is making a sign for her chess club. Two possible designs for the base of the sign are shown. Is there a value of x for which the perimeters of the fighters are equal? Choose one option from each drop-down menu to answer the question. Set the perimeters equal to form the equation 4(2x + 3) = (2x - 2) + 2(3x + 7).

Answer 1

There is no specific value of x for which the perimeters of the two designs are equal.

Step-by-step explanation:

To find the value of x for which the perimeters of the two designs are equal, we can start by simplifying the equation. Distribute on the left side of the equation to get 8x + 12 = 2x - 2 + 6x + 14. Combine like terms on both sides to get 8x + 12 = 8x + 12. This means that the equation is always true, regardless of the value of x. Therefore, there is no specific value of x for which the perimeters of the two designs are equal.