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 90º measure. Therefore, Pythagoras theorem can be applied here.
(41)2 = (40)2 + x2
1681 = 1600 + x2
x2 = 1681 − 1600 = 81
x = 9 cm
Perimeter = 2(Length + Breadth)
= 2(x + 40)
= 2 (9 + 40)
= 98 cm