Question

Annie is making square shaped flags to cheer on the swim team. The length of the side of the square is given by the expression 2x + 4. Which of the following gives an expression for the perimeter of the square? 4x + 8 2x + 16 8x +16 4x + 16 If x has a value of 5, what is the perimeter of the square? The perimeter is units. If x has a value of 3, what is the area of the square? Show all of your steps. Previous Powered by LinkIt!

Answer 1

Part 1:
The parimeter of the square by definition is given by:
P = 4L
Substituting values:
P = 4 (2x + 4)
Rewriting we have:
P = 8x + 16

Part 2:
For x = 5 we have:
P = 8 (5) + 16
P = 40 + 16
P = 56

Part 3:
The area of the square is:
A = L ^ 2
Substituting values:
A = (2x + 4) ^ 2
For x = 3 we have:
A = (2 (3) + 4) ^ 2
A = (6 + 4) ^ 2
A = (10) ^ 2
A = 100