Final answer:
To find the perimeter of a square with side lengths of '10a + 4b', multiply the side length by 4, resulting in a perimeter of '40a + 16b'.
Step-by-step explanation:
The perimeter of a square is calculated by adding the lengths of all four of its sides. Since all sides of a square are equal in length, we can simply multiply the length of one side by 4 to get the perimeter. In this case, the side length of the square is given as 10a + 4b. Therefore, the perimeter (P) is:
P = 4 × (10a + 4b)
Expanding this we get:
P = 40a + 16b
This gives us the formula for the perimeter of the square based on the variables a and b.