Question

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

Enter your answer in the box. Do not round any side lengths.

Answer 1

The coordinates of the rectangle are (-3,-1), (1,3), (3,1) and (-1,-3).

Draw the given rectangle as shown in the figure below.

Calculate the length of the rectangle as
a = √(4² + 4²) = 4√2
Calculate the width of the rectangle as
b = √(2² + (-2)²) = 2√2
Calculate the area of the rectangle as
A = a*b = (4√2) * (2√2) = 16

Answer: 16