Given,
QR = 27cm, PR = 30cm and PRQ = 30°
To find, Area of kite PQRS
By formula,
Area of Triangle PQR = 1/2 .QR.PR. Sin 30°
= (1/2) x 27cm x 30cm x (1/2)
= 202.2cm2
Here,
Area of triangle PQR = (1/2) area of kite PQRS [ Diagonal so formed by joining the vertices made by equal sides of kite bisects the kite.]
or, 202.5cm2 = 1/2 area of kite PQRS
or, Area of kite PQRS = 405cm2