Question

In the given figure, PQRS is a rectangle in which
PQ = 40 cm and QR = 25 cm. If W, X, Y, Z are
the mid points of PQ, QR, RS, and SP,
respectively, find the area of the shaded region.​

Answer 1

Answer:

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Step-by-step explanation:

Area of rectangle=l*b=40*25=1000cm2

p is the midpoint of AB

PB=1/2*40=20cm

q is the midpoint of BC

BQ=1/2*25=12.5cm

Area of triangle PBQ=1/2*b*h

Area of triangle PBQ=1/2*20*12.5

Area of triangle PBQ=10*12.5

Area of triangle PBQ=125cm2

All four triangles are equal

Area of 4 triangle =125*4

Area of 4triangle =500cm2

Area of shaded region =1000-500

Area of shaded region =500cm2