Find the perimeter of the rectangle whose length is 404040 cmcmcm and a diagonal is 414141 cmcmcm.
In a rectangle, all interior angles are of 90°90\degree90° measure. Therefore, Pythagoras theorem can be applied here.
(41)2=(40)2+x2(41)^2= (40)^2 + x^2 (41)2=(40)2+x2
⇒\Rightarrow⇒168116811681 = 1600+x1600 + x1600+x
2×2=1681−16002 \times2= 1681 -16002×2=1681−1600 = 818181 x=9x = 9 x=9 cmcmcm
Perimeter=2(Length+Breadth)Perimeter = 2(Length + Breadth)Perimeter=2(Length+Breadth)
= 2(x+40)2(x + 40)2(x+40)
= 2(9+40)2 (9 + 40)2(9+40)
= 989898 cmcmcm