Question

The figure obtained by joining the points (-3,0), (0,-2), (3,0) and (0,2) [in order] is in fact:​

Answer 1

Answer:

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The figure obtained by joining the points (-3,0), (0,-2), (3,0) and (0,2) [in order] is in fact:

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Given points are (0,2),(3,0),(0,−2) and (−3,0).

The points are plotted in the graph below.

The quadrilateral obtained is a rhombus.

BD and AC are the diagonals of the rhombus.

Area of a rhombus =1/2×d1×d2

Where d1 and d2 are the length of diagonals.

AC=4 units [from graph]

BD=6 units [from graph]

Area of rhombus ABCD=1/2×BD×AC

=1/2×6×4

=12sq.units.

Hence the area is 12sq.units.

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Answer 2

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