Parallelograms on the Same Base and between the Same Parallels
If ABDC is a ...
Question
If ABDC is a parallelogram of area 132 cm2 and E, F are mid points of AB and CD respectively then the area of parallelogram AEFC is ____
A
60 cm2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
66 cm2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
132 cm2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
can't be found
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is B 66 cm2 Given, area of parallelogram ABDC is 132 cm2
and E, F are mid points of AB and CD ∵ Area of parallelogram is base × height
Area of ABDC = CD × EG ⇒ CD × EG = 132 cm2-----(1)
Area of AEFC = CF × EG ∵ CF = 12CD ⇒ Area of AEFC = 12CD× EG
= 12× 132 cm2
= 66 cm2