What is the approximate length of a diagonal of a square with a perimeter of 48 inches?

diagonal length = 12√2 inches

Step-by-step explanation:

If the perimeter of the square is 48 inches, the length of one side is one fourth of that, or 12 inches.  The diagonal creates a 45-45-90 triangle with two 12-in legs; we are to find the length of the diagonal.  Using the Pythagorean Theorem, we get

12² + 12² = (diagonal length)², or 2(12²) =  (diagonal length)²

Taking the square root of both sides, we get:

diagonal length = 12√2 inches

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

step- i d k and i d c : )

you: : 0

bye