# CBSE Class 8 Answered

**Construct a rectangle PQRS in which QR = 3.5 cm and diagonal is 5.5 cm. Write the steps of construction.**

Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM

Expert Answer

In a rectangle both the diagonals are equal, so we have PR = QS=5.5 cm and each angle is 90°. So Q= R =90°.

Steps of construction:

a)Draw QR =3.5cm.

b)Draw XQR =90° and YRQ=90°.

c)With R as centre and radius 5.5cm draw an arc to cut QX at P.

d)With Q as centre and radius 5.5cm, draw an arc to cut RY at S.

e)Join PS.

PQRS is the required rectangle.

Answered by | 04 Jun, 2014, 03:23: PM

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