Find the perimeter of the rectangle whose length is \(40\) \(cm\) and a diagonal is \(41\) \(cm\).
In a rectangle, all interior angles are of \(90\degree\) measure.
Therefore, Pythagoras theorem can be applied here.
\((41)^2= (40)^2 + x^2 \)
\(\Rightarrow\)\(1681\) = \(1600 + x\)
\(2 \times2= 1681 -1600\) = \(81\)
\(x = 9 \) \(cm\)
\(Perimeter = 2(Length + Breadth)\)
= \(2(x + 40)\)
= \(2 (9 + 40)\)
= \(98\) \(cm\)