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Perimeter of this rectangle is 142 cm.
Here,
Length of this rectangle ( or QR ) is not mentioned, we can't measure the perimeter of this rectangle.
For the value of QR :
Since it's a rectangle, \angle∠ PQR must be a right angle ( or 90° angle ).
Using Pythagoras Theorem :
= > ( PQ )^2 + ( QR )^2 = ( PR )^2
Substituting the given values :
= > ( 11 cm )^2 + ( QR )^2 = ( 61 cm )^2
= > 121 cm^2 + ( QR )^2 = 3721 cm^2
= > ( QR )^2 = 3721 cm^2 - 121 cm^2
= > ( QR )^2 = 3600 cm^2
= > QR = 60 cm ( Positive value )
From the properties of rectangle :
Perimeter of rectangle = 2( length + breadth )
Thus,
= > Perimeter of this rectangle = 2 ( 11 cm + 60 cm ) = 2( 71 cm ) = 142 cm
Hence the perimeter of this rectangle is 142 cm.
Step-by-step explanation:
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