find the perimeter of the rectangle whose length is 40 centimetre and d is diagonal 41 cm
please give me answer
Answers
Answered by
2
Answer:
98 cm
Step-by-step explanation:
since the length is 40 cm and diagonal is 41 cm,using Pythagoras theorem we get the breadth of the rectangle as 9
so the perimeter is 2(l+b) which is 2(40+9)
thus the perimeter of the rectangle is 98 cm
Answered by
2
Answer:
Hope you can understand it easily....................
Step-by-step explanation:
We know that a diagonal of a rectangle divides it into two right angle triangle / -
Hence /- Applying pythagoras theorem. ....
Or, Digonal^2 = Length^2 + Breadth^2
Or, (41)^2 = (40)^2 + Breadth^2
Or, 41)^2 - (40)^2 = Breadth^2
Or, 1681 - 1600 = Breadth^2
Or, √(81) = √(Breadth^2)
Or, √(81) = Breadth
Or, Breath = 9 Cm
Now, Perimeter of the rectangle /-
= 2 ( Length + Breadth )
= 2 ( 40 Cm + 9 Cm )
= 2 (49 Cm )
= 98 Cm ( Answer )
Therefore , Perimeter of the rectangle will be 98 Cm.
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