Question

The perimeter of the square

Answer 1

Answer:

x = 20/49 units; P = 8 48/49 units

Step-by-step explanation:

All sides of a square are congruent.

That means that the two given side lengths are equal.

We set the two lengths equal and solve the equation for x.

5.5x = (1/5)(3x + 10)

Multiply both sides by 5.

27.5x = 3x + 10

Subtract 3x from both sides.

24.5x = 10

x = 10/24.5

x = 20/49

The perimeter of a square is 4s, where s is the length of a side.

P = 4s

= 4(5.5x)

= 4 * 5.5 * 20/49

= 22 * 20/49

= 440/49

= 8 48/49

Answer: x = 20/49 units; P = 8 48/49 units