Question

Construct the quadrilateral with the given measurements and also find its area.

KITE, KI= 5.4 cm, IT = 4.6 cm, TE= 4.5 cm, KE = 4.8 cm and IE = 6 cm.
$\left[5\right]$

Answer 1

Given, KI = 5.4 cm,

IT = 4.6 cm,

TE= 4.5 cm,

KE = 4.8 cm,

IE = 6 cm.

$\left[3\right]$

Steps:

1. Draw a line segment KI = 5.4 cm

2. With K and I as centers drawn arcs of radii 4.8 cm and 6 cm respectively and let them cut at E.

3. Joined KE and IE.

4. With E and I as centers, drawn arcs of radius 4.5cm and 4.6 cm respectively and let them cut at T.

5. Joined ET and IT.

6. KITE is the required quadrilateral.
$\left[1\right]$
Calculation of Area:
Area of the quadrilateral = $\frac{1}{2}\times d(h_1+h_2)$ sq. units
$\frac{1}{2}\times 6(3.4+3.9)c{m}^2$ = 3 x 7.3 $c{m}^2$= 21.9 $c{m}^2$
Area of the quadrilateral = 21.9 $c{m}^2$
$\left[1\right]$