Given that ABCE is a parallelogram , EC =18cm, AD = 20cm and 'P' is midpoint of AD. The area of the given figure is _______
Answers
Answer:
The area of the given figure is 270 cm²
Step-by-step explanation:
Given : ABCE is a parallelogram, EC = 18 cm, AD = 20cm and
'P' is midpoint of AD,
The area of given figure ABCDE = ?
Solution : The area of given figure ABCDE = area of parallelogram ABCE +
area of triangle ECD
Area of ABCE = Base EC x Height AP
= 18 x 10 ∵ given AP = 1/2 AD
= 180 cm²
Are of triangle ECD = 1/2 x Base EC x Height PD
= 1/2 x 18 x 10 ∵ given PD = 1/2 AD
= 90 cm²
The area of given figure ABCDE = area of parallelogram ABCE +
area of triangle ECD
= 180 +90
= 270 cm²