Answer:
NO, there is no x value for which the two perimeters are equal.
Step-by-step explanation:
The formula for the perimeter of the square is P = 4(side length), which here is P = 4(x + 3), which simplifies to 4x + 12.
The formula for the perimeter of the rectangle is P = 2(x + 4) + 2(x + 1), which simplifies to P = 4x + 10
We set these two results equal to each other to determine whether there is one or more x value that makes the perimeters of the two figures equal:
4x + 12 = 4x + 10
12 is never equal to 10, so NO, there is no x value for which the two perimeters are equal.
