What is the area of a rectangle with vertices at (1, 7) , (5, 3) , (3, 1) , and (−1, 5) ?and explain

Given the vertices of the rectangle ABCD:

A = (1, 7) , B = (5, 3), C = (3,1) and D = (-1, 5)

Distance(D) formula for two points is given by;

Using distance formula:

units

units.

units

units.

Since, the Opposite sides of a rectangle are the same length.

⇒AB = CD and BC =DA

Area of rectangle is equal to multiply its width by length.

Area of rectangle ABCD =

= square units.

Therefore, the area of rectangle is, 16 square units.