Question

Construct a quadrilateral PQRS where PQ = 5cm, QR=6cm, RS=5cm, PS=5.5cm and PR=7cm and
write the steps of construction.

Answer 1

Step-by-step explanation:

1. Draw a line segment PR=7 cm.

2. With 4 cm as radius, draw an arc from P.

3. Similarly, with radius as 6 cm from R, cut the arc just drawn.

4. They will intersect at Q. Join PQ and QR.

5. With 5.5 cm as radius, draw an arc from P. Similarly, with radius as 5 cm from R, cut the arc just drawn.

6. They will intersect at S. Join PS and RS.

7. PQRS is the required quadrilateral.

Answer 2

Step-by-step explanation:

1. Draw a line segment PR=7 cm.

1. Draw a line segment PR=7 cm.2. With 4 cm as radius, draw an arc from P.

1. Draw a line segment PR=7 cm.2. With 4 cm as radius, draw an arc from P. 3. Similarly, with radius as 6 cm from R, cut the arc just drawn.

1. Draw a line segment PR=7 cm.2. With 4 cm as radius, draw an arc from P. 3. Similarly, with radius as 6 cm from R, cut the arc just drawn.4. They will intersect at Q. Join PQ and QR.

1. Draw a line segment PR=7 cm.2. With 4 cm as radius, draw an arc from P. 3. Similarly, with radius as 6 cm from R, cut the arc just drawn.4. They will intersect at Q. Join PQ and QR.5. With 5.5 cm as radius, draw an arc from P. Similarly, with radius as 5 cm from R, cut the arc just drawn.

1. Draw a line segment PR=7 cm.2. With 4 cm as radius, draw an arc from P. 3. Similarly, with radius as 6 cm from R, cut the arc just drawn.4. They will intersect at Q. Join PQ and QR.5. With 5.5 cm as radius, draw an arc from P. Similarly, with radius as 5 cm from R, cut the arc just drawn.6. They will intersect at S. Join PS and RS.

1. Draw a line segment PR=7 cm.2. With 4 cm as radius, draw an arc from P. 3. Similarly, with radius as 6 cm from R, cut the arc just drawn.4. They will intersect at Q. Join PQ and QR.5. With 5.5 cm as radius, draw an arc from P. Similarly, with radius as 5 cm from R, cut the arc just drawn.6. They will intersect at S. Join PS and RS.7. PQRS is the required quadrilateral.