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!

Question

Mathematics

Devon Cherry

22 January, 22:08

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!

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Answers (1)

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Baron · 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