Question

ST and QU are the heights on the sides PQ and SP respectively. If the area of the parallelogram PQRS is 1470sq.m and PQ = 35cm, PS = 49cm. Find the length of ST and QU.

Answer 1

Area of a parallelogram= height x base
     PQ x QU = 1470
or,  35 x QU =1470
or,  QU = 1470/35
or,  QU=42 cm
    
     PS x ST =1470
or, 49 x ST =1470
or, ST =1470/49
or, ST=30 cm

hope this helps you :)

Answer 2

in parallelogram PQRS 
ST and QU are heights
PS and PQ are bases
∴ ar(PQRS) = ST × PQ or QU × PS
ST × PQ =1470
$ST = \frac{1470}{35} = 42$

$SQ = \frac{1470}{49}$ = 30

∴ ST= 42 and SQ = 30