A rectangle is drawn on a coordinate plane with vertices (0, 0), (2, 2), (9, -4), and (7, -6).and using the coordinates. What is the approximate area of the rectangle?

Answer 1

We can find the lengths of the sides of the rectangle by using the distance formula between the given vertices.

The length of one side of the rectangle is the distance between (0, 0) and (2, 2):
Length = sqrt((2 - 0)^2 + (2 - 0)^2) = sqrt(4 + 4) = sqrt(8) ≈ 2.83.

The length of the other side of the rectangle is the distance between (0, 0) and (9, -4):
Length = sqrt((9 - 0)^2 + (-4 - 0)^2) = sqrt(81 + 16) = sqrt(97) ≈ 9.85.

Therefore, the approximate area of the rectangle is the product of its side lengths:
Area ≈ 2.83 * 9.85 ≈ 27.86.