Question:

Find the perimeter of the rectangle whose length is 4040 cmcm and a diagonal is 4141 cmcm.

Updated On: Dec 11, 2023
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Solution and Explanation

rectangle
In a rectangle, all interior angles are of 90°90\degree measure. 
Therefore, Pythagoras theorem can be applied here.

(41)2=(40)2+x2(41)^2= (40)^2 + x^2

\Rightarrow16811681 = 1600+x1600 + x

2×2=168116002 \times2= 1681 -1600 = 8181 
x=9x = 9  cmcm

Perimeter=2(Length+Breadth)Perimeter = 2(Length + Breadth)

2(x+40)2(x + 40)

2(9+40)2 (9 + 40)

9898 cmcm

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