ABCD is a parallelogram of area 900 sq. cm. AP is drawn perpendicular to BC and AQ is perpendicular to DC. If AP = 24 cm and AQ = 18.75 cm. Calculate (i) AB (ii) BC (iii) area of ABC.



Asked by Topperlearning User | 17th Aug, 2017, 01:56: PM

Expert Answer:

Area of parallelogram = base  corresponding altitude.
Area of parallelogram ABCD = BC  AP
900 = BC  24
BC = 37.5 cm.
Also, 900 = AB  18.75
AB = 48 cm.



 
begin mathsize 12px style Area space of space increment ABC equals 1 half cross times base cross times altitude
equals 1 half cross times BC cross times AP equals 1 half cross times 37.5 cross times 24 equals space 450 space sq space cm end style

Answered by  | 17th Aug, 2017, 03:56: PM