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