Question
A square is made by connecting points:
(0,4)
(4,7)
(7,3)
(3,0)
what is the area of the square?
(0,4)
(4,7)
(7,3)
(3,0)
what is the area of the square?
Answers
GPT 3.5
To find the area of the square, we first need to calculate the distance between two opposite vertices. We can do this by using the distance formula:
Distance = √((x2-x1)^2 + (y2-y1)^2)
(0,4) and (4,7):
Distance = √((4-0)^2 + (7-4)^2) = √(16 + 9) = √25 = 5
So, the side length of the square is 5 units. To find the area of the square, we square the side length:
Area = (side length)^2
Area = 5^2
Area = 25 square units
Therefore, the area of the square is 25 square units.
Distance = √((x2-x1)^2 + (y2-y1)^2)
(0,4) and (4,7):
Distance = √((4-0)^2 + (7-4)^2) = √(16 + 9) = √25 = 5
So, the side length of the square is 5 units. To find the area of the square, we square the side length:
Area = (side length)^2
Area = 5^2
Area = 25 square units
Therefore, the area of the square is 25 square units.