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Question

# Arun is constructing a rectangle REMO where RE = 4 cm and RM = 5 cm. The steps for the construction is as follows: (1) Draw a line segment RE of length 4 cm. (2) Construct 90° at the points R and E. Extend the lines. (3) Keeping R as the centre and a radius of 5cm, construct an arc cutting on the line generated from the point E. (4) Mark the intersecting point to be M. What is the next step?

A
Measure the length of the side EM for the construction of the side RO.
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B
Join O and M. The rectangle REMO is hence constructed.
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C
None of the above.
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D
Keeping R as the centre, cut an arc of radius 3 cm on the generated from the point R.
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Solution

## The correct option is A Measure the length of the side EM for the construction of the side RO. The steps of construction will be as follows: (1) Draw a line segment RE of length 4 cm. (2) Construct 90° at the points R and E. Extend the lines. (3) Keeping R as the centre and a radius of 5cm, construct an arc cutting on the line generated from the point E. (4) Mark the intersecting point to be M. (5) Measure the length of the side EM for the construction of the side RO. (6) Keeping R as the centre, cut an arc of radius 3 cm on the generated from the point R. (7)Join O and M. The rectangle REMO is hence constructed. The rectangle will be as follows. So, 'measure the length of the side EM for the construction of the side RO' will be the next step.

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