Question

In the figure, if the area of ||gm PQRS is 84cm²; find the area of 
(i) || gm PQMN
(ii) ΔPQS
(iii) ΔPQN

Answer 1

(i) Area of a rectangle and area of a parallelogram on the same base is equal.
Here,
For rectangle PQMN, base = PQ
For parallelogram PQRS, base = PQ
Therefore, Area of rectangle PQMN = Area of parallelogram PQRS
Area of rectangle PQMN = 84cm² 

(ii) ar(ΔPQS) = `(1)/(2)` x ar(parallelogram PQRS)

ar(ΔPQS) = `(1)/(2) xx 84"cm"^2`

ar(ΔPQS) = 42cm² 

(iii) ar(ΔPQN) = `(1)/(2)` x ar(rectangle PQMN)

ar(ΔPQN) = `(1)/(2) xx 84"cm"^2`

ar(ΔPQN) = 42cm².