Question

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

MIND, MI = 3.6 cm, ND = 4 cm, MD = 4 cm, ∠M = 50° and ∠D = 100°

Answer 1

Given MI = 3.6 cm, ND = 4 cm, MD = 4 cm, ∠M = 50° and ∠D = 100°


Steps:

1. Drawn a line segment MI = 3.6 cm

2. At M on MI made an angle ∠IMX = 500

3. Drawn an arc with center M and radius 4 cm let it cut MX it D

4. At D on DM made an angle ∠MDY = 100°

5. With I as center drawn an arc of radius 4 cm, let it cut DY at N.

6. Joined DN and IN.

7. MIND is the required quadrilateral.

Calculation of Area:

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

= `1/2 xx 3.2 xx (2.7 + 3.3)  "cm"^2`

= `1/2 xx 3.2 xx 6  "cm"^2`

=  9.6 cm²

Area of the quadrilateral = 9.6 cm²