Question

A, B, C and D are the mid-points of sides of parallelogram PQRS. If ar(PQRS) = 45 cm², then find ar(ABCD).​

Answer 1

Answer:

Heya mate

Step-by-step explanation:

A,B,C,D are point of sides of parallelogram PQRS area (PQRS)=36 cm

2

ar(ABCD)=?

AP=

2

1

SP, BP= 1/2QR1/2PS=QR

PS= QR

area (△ABC)= 1/2

(△PQCQ)

area (△ADC)= 1/2

ar(ACRS)

area △ABC+area(△ADC)= 1/2

area(APCQ)= 1/2

area(ACRS)

area(ADCD)= 1/2

area(APCQ)+(ACRS)area

area(ABCD)= 1/2

area(PQRS)

area(ABCD)= 1/2

(36)

=18 cm