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In a rectangular coordinate system, what is the area of..

by BTGmoderatorLU » Tue Dec 12, 2017 1:50 pm
In a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates (0, 3.5), (8, 0), (0, -3.5), (-8, 0)?

A. 56
B. 88
C. 112
D. 116
E. 120

The OA is A.

I'm confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.
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by Jay@ManhattanReview » Tue Dec 12, 2017 9:33 pm
LUANDATO wrote:In a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates (0, 3.5), (8, 0), (0, -3.5), (-8, 0)?

A. 56
B. 88
C. 112
D. 116
E. 120

The OA is A.

I'm confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.
Plot the four points on a Cartesian coordinate plane and measure the length of the two diagonals. Length of one diagonal = |-3.5| + 3.5 = 7, and the length of the other diagonal = |-8| + 8 = 16.

The area of the rhombus = Product of the diagonals/2 = (7*16)/2 = 56 sq unit

The correct answer: A

Hope this helps!

-Jay
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by GMATWisdom » Wed Dec 13, 2017 5:37 am
LUANDATO wrote:In a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates (0, 3.5), (8, 0), (0, -3.5), (-8, 0)?

A. 56
B. 88
C. 112
D. 116
E. 120

The OA is A.

I'm confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.
Area of rhombus =half the product of diagonals
Here clearly length of digonals are 16 and 7
Therefore area = ½(16*7)= 56
Hence option A is correct
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