The answer is: "10 cm" . ____________________________________ Method 1) ____________________________________________ 2L + 2w = 40 ; Since the formula for perimeter of a rectangle (Note: a square is a rectangle) is:
P = 2L + 2w ; Note: L = length; w = width; P = perimeter; ______________________________________________________ Factor out a "2": _________________ " 2L + 2w = 40" ;
2 (L+ w) = 40;
Divide each side of the question by "2" ; ____________________________________ [2 (L + w)] / 2 = 40 / 2 ; ____________________________________ to get: (L + w) = 20 ;
Note: this "rectangle is a square" ; so L= w". __________________ 20 /2 = 10 ;
L + w = 10 + 10 = 20.
This is a square, so each side of the square is the same length.
Each side is: 10 cm . ______________________________________________ Method 2) ______________________________________________
We are given: The perimeter (sum of the lengths of all sides) of a square is "40 cm." Since a square has 4 sides of equal length: Each side is: 40 cm / 4 = 10 cm. ______________________________________________
One of the equations for a circle is (x - h)² + (y - k)² = r² where (h, k) are the center and r is the radius. So after substitution: (x + 6)² + (y - 2)² = 100
Notice the equation has the opposite of h and k and 100 is the result of squaring 10.
Surface area is the total area of the surface. A cube has 6 surface, and each surface is the same. Each surface is a 11 by 11 square. Therefore there will be 6 11in. x 11in. surfaces. The math would be 11x11x6 =726.
