Determine the coordinates of the vertices of the rectangle to compute the area of the rectangle using the distance formula (round to the nearest integer).

The graph of the rectangle missing in the question is shown in the figure attached.

Coordinates of the points are:

A(1,8)

B(4,5)

C(14,21)

D(17,18)

The area of the rectangle is AB*BD.

The length of a segment given two points (x1, y1) and (x2, y2) is computed as follows:

√[(y2 - y1)^2 + (x2 - x1)^2]

For segment AB:

√[(5 - 8)^2 + (4 - 1)^2] = √18

For segment BD:

√[(18 - 5)^2 + (17- 4)^2] = √338  

Then, the area is:

AB*BD = (√18)*(√338) = √(18*338) = √6084 = 78

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.