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If a parallelogram PQRS is constructed with sides QR=6cm, PQ=4cm and $∠ P Q R = 90 °$ Then what type of quadrilateral PQRS is?

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square

rectangle

rhombus

trapezium

answer is B.

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Detailed Solution

We know that a rectangle has 4 sides and 4 corners. Its two sides meet at right angles and opposite side rectangles are equal in length.
Using given data constructing quadrilateral PQRS:
Question Image

From the figure we have,

∠ P Q R = 90 °

And

P S = O Q; P S | | O Q P Q = S R; P Q | | S R

Since, we know if in a parallelogram an angle is of

90 °

Then, all the angle be

90 °

and a parallelogram with all angle equal to

90 °

is called a rectangle.
Therefore, option 2 is correct.

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