Final answer:
To find the length of each side of the triangle, set up an equation and find the value of x. Substitute the value of x into the given expressions to find the length of each side.
Step-by-step explanation:
To find the length of each side of the triangle, we can set up an equation using the given information. The perimeter of a triangle is equal to the sum of the lengths of its sides. So, we can write:
(x^2 - 11) + (x + 1) + (4x) = 56
Simplifying the equation, we have:
x^2 - 11 + x + 1 + 4x = 56
Combining like terms, we get:
x^2 + 5x - 10 = 56
Now, we can solve the quadratic equation for x. Once we find the value of x, we can substitute it back into the given expressions to find the length of each side of the triangle.
Learn more about Triangle perimeter