Question

Construct the following quadrilaterals with the given measurements and also find their area.

ABCD, AB = 5 cm, BC = 4.5 cm, CD = 3.8 cm, DA = 4.4 cm and AC = 6.2 cm

Answer 1

Given ABCD, AB = 5 cm, BC = 4.5 cm, CD = 3.8 cm, DA = 4.4 cm and AC = 6.2 cm

Steps:

1. Draw a line segment AB = 5 cm

2. With A and B as centers drawn arcs of radii 6.2 cm and 4.5 cm respectively and let them cut at C.

3. Joined AC and BC.

4. With A and C as centers drawn arcs of radii 4.4 cm and 3.8 cm respectively and let them at D.

5. Joined AD and CD.

6. ABCD is the required quadrilateral.

Calculation of Area:

Area of the quadrilateral ABCD = `1/2 xx "d" xx ("h"_1 + "h"_2)  "sq.units"`

= `1/2 xx 6.2 xx (2.6 + 3.6)  "cm"^2`

= 3.1 × 6.2

= 19.22 cm²