Abcd Is Parallelogram Is Any Point On Cd If Area В–Іdpa 15 Cm2 And Area В–Іapc 20 Cm2 Find Area В–Іapb

ABCD is a parallelogram. P is any point on CD. If A B area(△DPA) = 15 cm2 and area (△APC) = 20 cm2, find the area(△APB).

Answers:

Solution    :-

          area(△ADC)     = area(△ADP) + area (△APC)

                                 = 15 + 20

                                 = 35cm²  

 But,     area(△APB)   = 1/2 (area of parallelogram ABCD)

                                = 1/2[2 (area of △ADC)]   

                                                            [ As diagonal divides a parallelogram into two equal areas)

                                = 1/2 x 2(35) = 35 cm²