If one side of the rectangle is known, can we construct a unique rectangle?

Yes, we can

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With measurement of one angle, yes

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With measurement of two angles, yes

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No, it's not possible

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Solution

The correct option is D
No, it's not possible

A rectangle is a quadrilateral with equal opposite sides and adjacent sides perpendicular to each other. Since we only know one side of the rectangle we can draw infinite rectangles. Because the other side's length is not specified.
e.g.

In above rectangle, PS = QR = AD = BC = 5cm

So, we can't draw a unique rectangle.

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