Mathematics
Plot the points A(1, 2), B(-4, 2), C(-4, -1) and D (1, -1). What kind of quadrilateral is ABCD? Also find the area of the quadrilateral ABCD.
Coordinate Geometry
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Answer
The points are shown on the graph below:
Steps of construction :
Plot the points A (1, 2), B (-4, 2), C (-4, -1) and D (1, -1) on graph.
Join AB, BC, CD and AD.
From graph,
ABCD is a rectangle.
1 block = 1 unit
AB = 5 units, AD = 3 units
Area of rectangle ABCD = length × breadth
= AB × AD
= 5 × 3
= 15 sq. units.
Hence, ABCD is a rectangle and its area = 15 sq. units.
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