The perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm is ____ cm.

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Detailed Solution

The perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm is 98 cm.
Given a rectangle whose length is 40 cm and a diagonal is 41 cm.
Let the side BC =

a

cm,
Using Pythagoras’s Theorem,

a 2 = 412 − 402 a 2 = 1681 − 1600 a 2 = 81 a = 9 c m

Now perimeter is,

= 2 9 + 40 = 2 × 49 = 98

The perimeter is 98 cm.

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