Final answer:
The area and perimeter of square WXYZ with vertices W(7,-7), X(7,8), Y(-8,8), and Z(-8,-7) is calculated using the distance and area/perimeter formulas. The length of one side is found to be 15 units. Therefore, the area will be 225 square units and the perimeter will be 60 units.
Step-by-step explanation:
To find the area and perimeter of square WXYZ, we first need to determine the length of one side. Given vertices W(7,-7), X(7,8), Y(-8,8), and Z(-8,-7), we could use the distance formula to find the length. The distance formula is √[(x2-x1)²+(y2-y1)²]. Therefore, the length of side WX would be √[(7-7)²+(8-(-7))²] = √[0+225] = 15.
Now that we know the length of one side, we can calculate the area and perimeter. The area of a square is given by the formula: area = side². So, the area of WXYZ would be 15² = 225 square units. For the perimeter of a square, the formula is: perimeter = 4 x side. So, the perimeter of WXYZ would be 4 x 15 = 60 units.
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