By finding the square root of the area of the garden, you find the length of one side, which is 8. We add 3 feet to this, giving us 11, then multiply this by 4 to get 44 feet for the perimeter.

The area of the shaded region, which covers half of the square is 18 meaning that the total area of the square is 18 x 2, or 36. The area of a square is equal to the length of one side squared. Since the square root of 36 is 6, the length of 1 side is 6. The perimeter is the length of 1 side times 4 or 6 x 4.

The area of a square is given by  so we know the side is 5 cm.  Enlarging by a factor of two makes the new side 10 cm.  The perimeter is given by , so the perimeter of the new square is 40 cm.

In order to find the perimeter of a square, one must add up all of its side lengths. The side lengths of a square are all equal; therefore, the formula for the perimeter of a square is .

Remember perimeter should be expressed in single units not units squared. Thus,  is an incorrect answer.

Using the Pythagorean Theorem, we can find the edge of a side to be √50, by 2a²=10². This can be reduced to 5√2. This can then be multiplied by 4 to find the perimeter. 

We start by dividing the area of square R (48) by 12, to come up with the area of square T, 4.  Then take the square root of the area to get the length of one side, giving us 2.

Let x represent the length of the original square in inches.  Thus the area of the original square is x².  Two inches are added to x, which is represented by x+2.  The area of the resulting square is (x+2)².  We are given that the new square is 64 sq. inches greater than the original.  Therefore  we can write the algebraic expression:

x² + 64 = (x+2)²

FOIL the right side of the equation.

x² + 64 = x² + 4x + 4 

Subtract x² from both sides and then continue with the alegbra.

64 = 4x + 4

64 = 4(x + 1)

16 = x + 1

15 = x

Therefore, the length of the original square is 15 inches.

If you plug in the answer choices, you would need to add 2 inches to the value of the answer choice and then take the difference of two squares.  The choice with 15 would be correct because 17² -15² = 64.

The area of a square is equal to length times width or length squared (since length and width are equal on a square). Therefore, the length of one side is  or  The perimeter of a square is the sum of the length of all 4 sides or

Given that the square's diagonals pass through the circle's center, those diagonals must each form a diameter of the circle. The circle's diameter is twice its radius, i.e. , which is . Since this diameter (i.e., the square's diagonal) is the hypotenuse of a right triangle formed by two sides of the square, the length of one of the square's sides can be calculated with the Pythagorean Theorem.  replace  and  because the sides of the square must be equal in length. Since the objective is to solve for the square's area, solve for  since one side squared will be the square's area.

 units squared

Add up all of the sides to get 35 inches.