Question

Construct a quadrilateral abcd in which ab=3.5cm bc=3.8cm cd=4.5cm da =5cm bd = 5.6cm

Answer 1

Procedure to draw a quadrilateral

1. Draw a line segment of ab = 3.5 cm

2. Measure angle 60° from point 'a' by using protractor.

3. According to property of Quadrilateral
         
         ∠a + ∠b  + ∠c + ∠d = 360° 

           60° + ∠b + 120° + 75° = 360° 

                 ∠b = 105°

4. Measure ∠105° AT point b and draw a line.

5. measure length = 6.5 cm with the help of compass and cut the arc at the line from point 'b'. you will get point 'c'

6. at point  'c' measure ∠120° and draw a line, which cuts the line drawn from point 'a'.

7. measure the angle 'd', you will find that it measures 75°

For the diagram please find the file attached.

Answer 2

first construct a triangle with bc as base .
now, from b cut an arc of 5.6cm
and cut another arc of 4.5cm from c
you'll get a triangle bdc
now, with be as base
from b cut an arc of length 3.5cm
from d, cut an arc if 5cm