Sum

Construct ☐ PQRS, such that l(PQ) = 3.5 cm, l(QR) = 5.6 cm, l(RS) = 3.5 cm, m∠Q = 110° , m∠R = 70° . If it is given that ☐ PQRS is a parallelogram, which of the given information is unnecessary?

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#### Solution

**Steps of Construction:Step 1: **Draw PQ = 3.5 cm.

**Step 2:**Draw ∠PQX = 110° .

**Step 3: **With Q as centre and radius 5.6 cm, draw an arc cutting ray QX at R.**Step 4: **Draw ∠QRY = 70° .

**Step 5: **With R as centre and radius 3.5 cm, draw an arc cutting ray RY at S.**Step 6: **Join PS.

Here, PQRS is the required quadrilateral.

If it is given that quadrilateral PQRS is a parallelogram, then the information l(RS) = 3.5 cm and m∠R = 70° is unnecessary.

Is there an error in this question or solution?

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