Question

contruct the quadrilateral pqrs pq 4 cm qr 3.2cm ps 3.7 cm pr 4.8cm qs 5.t cm measure the side RS​

Answer 1

Step-by-step explanation:

First we draw a rough sketch of a quadrilateral ABCD and write down its dimensions as shown. We may divide it into two conveniently constructible Δs ABC and ACD.

Steps of construction:

1. Draw AC = 7 cm.

2. With A as centre and radius 4.5 cm, draw an arc (below AC).

3. With C as centre and radius 5.5 cm, draw another arc cutting the previous arc at B.

4. Join AB and BC

5. With A as centre and radius 6 cm, draw an arc (above AC).

6. With C as centre and radius 4 cm, draw another arc cutting the previous arc and D.

7. Join AD = CD.

Then, ABCD is the required quadrilateral.

(ii) First we draw a rough sketch of a quadrilateral JUMP and write down its dimensions as shown.

We may divide it inot two conveniently constructible Δs PJU and PMU.

Steps of construction:

1. Draw PU = 6.5 cm

2. With P as centre and radius 4.5 cm, draw an arc(below (PU)

3. With U as centre and radius 3.5 cm, draw another arc cutting the previous arc at J.

4. Join PJ and JU.

5. With P as centre and radius 5 cm, draw an arc (abov PU).

6. With U as centre and radius 4 cm, draw another arc cutting the previous arc at M.

7. Join PM and UM.

Then, JUMP is the required quadrilateral.