Question

A)
A rectangle is drawn on a coordinate plane with vertices
,
,
, and
. Usingthe coordinates, what is the exact area of the rectangle?
(1 point)
(0, 0) (5, 3) (7, 0) (2,−3)
18.87 units2
42.05 units2
20.88 units2
9.44 units2

Answer 1

Take (0,0) as a vertex; the two adjacent side vectors are v = (5,3) and u = (2,−3). The area is the absolute value of the determinant:

Area = |det([v u])| = |5(−3) − 3(2)| = |−15 − 6| = 21.

Exact area = 21 square units. (Closest choice given is 20.88.)