PQRS is a parallelogram where QT is perpendicular to SR and RN is
perpendicular to PS. If SR = 18 cm, PS = 12 cm and QT = 8 cm, find RN.
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Given : PQRS is a parallelogram where QT is perpendicular to SR and RN is perpendicular to PS. If SR = 18 cm, PS = 12 cm and QT = 8 cm,
To Find : RN.
Solution:
Area of parallelogram = Base * Height
Area of parallelogram PQRS = SR * QT
SR = 18 cm
QT = 8 cm
Area of parallelogram PQRS = 18 x 8 = 144 cm²
Area of parallelogram PQRS = PS * RN
SR = 12 cm
RN = y cm
Area of parallelogram PQRS = 12y cm²
12y = 144
=> y = 12
RN = 12 cm
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