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Find the perimeter of rectangle whole length is 40 cm and diagonal is 41 cm |
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Answer» Answer: 98cm Step-by-step explanation: By PYTHAGORAS theorem, (DIAGONAL)^2=(Length)^2+(Width)^2 Now as given in the question, Diagonal = 41 cm. Length = 40 cm. So, Putting these value we get, (41)^2=(40)^2+(Width)^2 (Width)^2=(41)^2-(40)^2 (Width)^2=1681-1600 (Width)^2=81 Width=9cm Hence the width of the rectangle is 9 cm. So The PERIMETER of the rectangle = 2 ( Length + Width ) = 2 ( 40 cm + 9 cm ) = 2 x 49 cm = 98 cm Hence the perimeter of the rectangle is 98 cm. |
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