Construct a rectangle with length as \(8\) \(cm\) and a diagonal breadth as \(10\) \(cm\). Also Find its Area.
 
Step \(1\): Draw a rough diagram using the measurements known.
 
 
Step \(2\): Draw a line segment \(AB\) of length \(8\) \(cm\).
 
 
Step \(3\): With \(A\) as centre and with \(10\) \(cm\) as radius, draw an arc.
 
 
Step \(4\): With \(B\) as centre, draw a perpendicular line until it meets the arc already drawn. Mark the intersection as \(C\)
 
 
Step \(5\): Measure \(BC\). In this case, \(BC = 6\) \(cm\), With \(A\) as centre and with \(6\) \(cm\) as radius, draw an arc. Similarly, with \(C\) as centre and with \(10\) \(cm\) as radius, cut the arc. Mark the intersection as \(D\)
 
 
Step \(6\): Join \(AD\) and \(CD\) to form the rectangle.
 
 
 
Area of the rectangle: \(=\) \(cm^2\)
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