It is known that the area of a polygon with vertices (x₁, ₁), (x2, 12). (x, yn) is equal where we set (x+1+Ya+1) = (x₁, y₁)] to (xYi+1 - Xi+1Yi) Compute the areas of the polygons shown in the figure. (-3,5) (1,3) (3,2) (1.1) (A) (B) The triangle in (A) has vertices A = (2,5), B=(2, 1), C = (7,1). First, calculate all summands (X,Y+1-X+Y) for the triangle in (A), then find its area. Check your result for the area of the triangle in (A) using geometry. (Give your answers as whole numbers.) XAVR - XBYA = -8 -8 хвус-хсув = Incorrect 40 хсул-хаус = Incorrect area of the polygon in (A): IN IM- 12 Incorrect 3

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 9E
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It is known that the area of a polygon with vertices (x₁, ₁), (x2, 32).
(x, yn) is equal [where we set
(Xx+1+Ya+1) = (x₁, y₁) to
(xYi+1 - Xi+1Yi)
Compute the areas of the polygons shown in the figure.
(-3,5)
(1,3)
(3,2)
(1.1)
(A)
(B)
The triangle in (A) has vertices A = (2,5), B=(2, 1), C = (7,1). First, calculate all summands (X,Y+1-X+1Y) for the
triangle in (A), then find its area. Check your result for the area of the triangle in (A) using geometry.
(Give your answers as whole numbers.)
XAVR-XBYA =
-8
-8
хвус-хсув =
Incorrect
40
хсул-хаус =
Incorrect
area of the polygon in (A):
IN
IM-
12
Incorrect
3
2
Transcribed Image Text:It is known that the area of a polygon with vertices (x₁, ₁), (x2, 32). (x, yn) is equal [where we set (Xx+1+Ya+1) = (x₁, y₁) to (xYi+1 - Xi+1Yi) Compute the areas of the polygons shown in the figure. (-3,5) (1,3) (3,2) (1.1) (A) (B) The triangle in (A) has vertices A = (2,5), B=(2, 1), C = (7,1). First, calculate all summands (X,Y+1-X+1Y) for the triangle in (A), then find its area. Check your result for the area of the triangle in (A) using geometry. (Give your answers as whole numbers.) XAVR-XBYA = -8 -8 хвус-хсув = Incorrect 40 хсул-хаус = Incorrect area of the polygon in (A): IN IM- 12 Incorrect 3 2
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