A rectangle has the following vertices. Find the area of the rectangle. (9, −1), (−1, 7), (−5, 2), (5, −6)

 82 sq. units .

Step-by-step explanation:

Let A (9, −1), B (−1, 7), C(−5, 2), D(5, −6) are the vertices of rectangle.

Then we plot them on graph ( as provided in attachment)

Length = AB units  [By distance formula : ]

units

Width = BC = units

Area = length x width

=

Hence, the  area of the rectangle is 82 sq. units .

77

step-by-step explanation: