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Question

Plot the points A (4, 5), B (-1, 5), C (-1, -2) and D (4, -2) on a graph paper. Join AB, BC, CD and DA. Give a special name to the quadrilateral ABCD obtained. Also, find its area.

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Solution

Since opposite sides are equal in length and sides are perpendicular to each other, the quadrilateral ABCD is a rectangle.
Also length of rectangle is AB=CD=5units
and breadth of rectangle is AD=BC=7units
So Area of the rectangle =length×breadth=5×7=35squnits
393797_178201_ans_26b1bab661944c24bbc8ef2cc0fc47b7.png

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