The points (-7, 2) and (0, 8) form the endpoints of one side of a square. Rounded to the nearest whole number, what is the square’s area?
area of square = ( side length )2
And the side length is the length of the line segment between (-7, 2) and (0, 8)
By the Pythagorean Theorem,
( side length )2 = ( 0 - -7)2 + (8 - 2)2
( side length )2 = 72 + 62
( side length )2 = 49 + 36
( side length )2 = 85
And again area of square = ( side length )2
We just found that ( side length )2 = 85 So...
area of square = 85
area of square = ( side length )2
And the side length is the length of the line segment between (-7, 2) and (0, 8)
By the Pythagorean Theorem,
( side length )2 = ( 0 - -7)2 + (8 - 2)2
( side length )2 = 72 + 62
( side length )2 = 49 + 36
( side length )2 = 85
And again area of square = ( side length )2
We just found that ( side length )2 = 85 So...
area of square = 85