What is the area of the rectangular region ?
(1) l + w = 6
(2) d^2 = 20
Area of rectangular region is given by \(l*w\).
Statement 1 gives us,\(l+w=6\), but l and w can take any values, so insufficient
Statement 2 gives us \(d^2 = 20\) . Assuming that d refers to length of diagonal, we have \(d^2 = l^2 + w^2 = 20\). Again l and w can take multiple values, so insufficient.
Combining 1 and 2,
we get \(l+w=6\) ... (1)
and \(l^2 + w^2 = 20\).... (2)
Squaring both sides of (1), we get
so, \(l^2 + w^2 + 2l*w = 36\)
Putting \(l^2 + w^2 = 20\) in above we get \(2l*w = 16\) or \(l*w = 8\)
So, sufficient. Answer C