PQRS is paralellogram. MN is perpendicular to QR. If area of trapezium PQRM=2/3*area of PQRS and QR=18cm, find PM. Please send the answer ASAP!


 

Asked by akkikumar05 | 21st Oct, 2019, 04:56: PM

Expert Answer:

PQRS is a parallelogram
A left parenthesis parallelogram P Q R S right parenthesis equals b a s e cross times h e i g h t equals Q R cross times M N equals 18 M N
N o w comma space A left parenthesis square P Q R M right parenthesis equals 1 half cross times left parenthesis s u m space o f space p a r a l l e l space s i d e s right parenthesis cross times h e i g h t equals 1 half cross times open parentheses P M plus Q R close parentheses cross times M N
I t space i s space g i v e n space t h a t comma
A r e a space o f space t r a p e z i u m space P Q R M equals 2 over 3 A left parenthesis parallelogram P Q R S right parenthesis
rightwards double arrow 1 half cross times open parentheses P M plus Q R close parentheses cross times M N equals 2 over 3 cross times 18 M N
rightwards double arrow 1 half cross times open parentheses P M plus 18 close parentheses equals 12
rightwards double arrow P M plus 18 equals 24
rightwards double arrow P M space equals space 6 c m

Answered by Renu Varma | 25th Oct, 2019, 10:28: AM