The vertices of a rectangle are listed below. P(1,3), Q(2, -1), R(-10, -4), S(-11, 0)
What is the area of the rectangle?
OA
51 square units
ОВ.
25.5 square units
OC.
102 square units
OD
33 square units
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(2, -1), R(-1

Step-by-step explanation:

В.

25.5 square units

OC.

l.jnl.j/n.m,lm,

step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584