Question

in the given figure ABCD is a square of side 4cm E and F are midpoint of AB and AD respectively. find the area of shaded region.
( DCBEF is shaded)​

Answer 1

Area Of Shaded Region = 14 cm²

Step-by-step explanation:

GIVEN

Side = 4 cm

___________________________

TO FIND

Area Of Shaded Region

___________________________

Area Of Square

We know that,

Area Of Square = Side × Side = Side²

Area Of Square = 4²

Area Of Square = 16

Area Of Square = 16 cm²

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Area Of Triangle

We know that,

Area Of Triangle = ½ × Length × Breadth

Here,

Length = 4 / 2 = 2 cm

Breadth = 4 / 2 = 2 cm

We know that,

Area Of Triangle = ½ × Length × Breadth

Area Of Triangle = ½ × 2 × 2

Area Of Triangle = ½ × 4

Area Of Triangle = 2

Area Of Triangle = 2 cm²

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Area Of Shaded Region

We know that,

Area Of Shaded Region = Area Of Square - Area Of Triangle

Area Of Shaded Region = 16 - 2

Area Of Shaded Region = 14

Area Of Shaded Region = 14 cm²

Answer 2

Step-by-step explanation:

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