Answer is Area = 16
*note answers rounded to nearest hundredth
Step by step
The distance between two points formula is
d=√((x2 – x1)² + (y2 – y1)²)
(1,7) and (5,3) length points
(5,3) and (3, 1) width points
Length
d = √ (5-1) ^2 + (3-7) ^2
d = √ 16 + 16
d = √ 32
d = 5.66
Width
d = √ (3-5)^2 + (1-3) ^2
d = √ 4 + 4
d = √ 8
d = 2.83
(1,7) and (5,3) = 5.66 length
(5,3) and (3, 1) = 2.83 width
Area is L x W
A .= 5.66 x 2.83
A = 16