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