Question

The perimeter of a square is given as 8x+20. Write two different expressions for the perimeter. Use factoring to write one of the expressoins. Are the expressions equivalen? Explain

Answer 1

P = 4(2x + 5)

P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)

Explanation:

Given that:

Perimeter of square = 4 * s

Where s = side length

If perimeter, P = 8x + 20

Then,

4s = 8x + 20

Divide both sides by 4

4s / 4 = (8x + 20) / 4

s = 2x + 5

P = 4s

P = 4(2x + 5)

Or

P = 2x + 5 in 4 places

P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)