Here, since perpendiculars from S and Q on PR are 3.4 cm and 4.6cm respectively, we have the following dimensions:
PR = 10 CM
SM = 3.4 CM
QN = 4.6 CM
To find the area of the quadilateral, use the formula:
[tex]\text{Area = }\frac{1}{2}\text{ PR (SM + QN)}[/tex][tex]\text{Area = }\frac{1}{2}\text{ }\ast\text{ 10(3.4 + 4.6)}[/tex][tex]\text{Area = }\frac{1}{2}\text{ }\ast\text{ 10(8)}[/tex][tex]\text{Area = }\frac{1}{2}\text{ }\ast\text{ 80}[/tex][tex]AREA=40cm^2[/tex]Therefore, area of quadilateral PQRS is 40 cm squared
