Question

find the perimeter of rectangle PQRS from the figure . ( use pythogoras theoram)​

Answer 1

Answer:

perimeter of rectangle is 144cm

and

RQ=60cm........by pythagoras Therom

plz mark this as brainiest

Answer 2

Answer:

Perimeter of this rectangle is 142 cm.

Step-by-step explanation:

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.

;;’