Question

PQRS is a rectangle with dimensions 28m by 20m. POQ is a triangle such that O is the point of intersection of the diagonals. Find the area of the shaded region.

Answer 1

Answer:

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Step-by-step explanation:

Rectangle pqrs and triangle poq have same base PQ and lie between the parallel SR and PQ

so, ar(POQ)=1/4ar(PQRS)

area of rectangle =l.b

l=20m

b= 28m

=20m.28m

=560sq.m

1/4 ar(PQRS) =1/4.560

=140

area of the shaded region = total rectangle area - triangle area

=560-140

=420

therefore area of shaded region is equals to 420 metre square