Question

EXERCISE
2. ABCD is a parallelogram. AE s perpendicular
TAB = 10 cm, AE = 8 cm and CF = 12 cm
- 11.2
1. The area of parallelogram ABCD is 36 cm
Calculate the height of purallelogram ABEF
TAB 4.2 cm
A
B
B
on DC and CF is perpendicular on AD
D
Find AD
E
E
A​

Answer 1

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In given figure, ABCD is a parallelogram. AE is perpendicular on DC and CF is perpendicular on AD.

If AB = 10 cm, AE = 8 cm and CF = 12 cm. Find AD.

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ANSWER

In parallelogram ABCD, we have given AB=10cm, AE=8cm, and CF=12cm.

⇒ AB=DC=10cm [Opposite sides of parallelogram are equal]

⇒ Lets find out area of parallelogram with height AE and base DC.

⇒ Area of parallelogram ABCD=b×h

⇒ Area of parallelogram ABCD=DC×AE

⇒ 10×8

∴ Area of parallelogram ABCD=80cm

2

--- ( 1 )

⇒ Now, to find area of parallelogram let CF be the height and AD will be base.

⇒ Area of parallelogram ABCD=CF×AD

⇒ 80=12×AD [From ( 1 )]

⇒ AD=

12

80

​

∴ AD=6.66cm

Explanation: