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## What is the area of the parallelogram ABCD? A = (1, 1), B = (2, 2), C = (5, 2), and D = (4, 1) (GMAT-MATHS)

## What is the area of the parallelogram ABCD? A = (1, 1), B = (2, 2), C = (5, 2), and D = (4, 1)

a. 3

b. 4

c. 41/2

d. 9

e. 10

Asked On2019-04-08 13:41:40 by:naikaumprakash

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Download question setAnswersArea of parallelogram = 2 Ã— Area of âˆ†ABC= 2 Ã— 1/2 Ã— base Ã— height sq. units

= 2 Ã— 1/2 Ã— AB Ã— CE sq. units

= b Ã— h sq. units

= base Ã— height sq. units

The area is then given by the formulaWhere x

_{1}is the x coordinate of vertex 1 and y_{n}is the y coordinate of the nth vertex etc. Notice that the in the last term, the expression wraps around back to the first vertex again.Area is 3

answer is option 1

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