Question

hi guts pls help in finding the area of given figure​

Answer 1

$\bf {\underline {\boxed {\pink { Area \: Of \: Figure = 70 \: cm^2 }}}}$

Step-by-step explanation:

GIVEN

AB = 12 cm

BC = 3 cm

DE = 4 cm

EF = 4 cm

FG = 4 cm

GA = 4 cm

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TO FIND

Area Of Figure

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We know that,

Area Of Square = Side × Side = Side²

Here,

Side = 4 cm

Area Of Square = Side × Side = Side²

Area Of Square = 4²

Area Of Square = 16

Area Of Square = 16 cm²

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We know that,

Area Of Rectangle = Length × Breadth

Here,

Length = 4 cm

Breadth = 4 + 4 = 8 cm

Area Of Rectangle = Length × Breadth

Area Of Rectangle = 4 × 8

Area Of Rectangle = 32

Area Of Rectangle = 32 cm²

___________________________

We know that,

Area Of Triangle = ½ × Base × Height

Here,

Base = 12 - 8 = 4 cm

Height = 8 - 3 = 5 cm

Area Of Triangle = ½ × Base × Height

Area Of Triangle = ½ × 4 × 5

Area Of Triangle = ½ × 20

Area Of Triangle = 10

Area Of Triangle = 10 cm²

___________________________

We know that,

Area Of Rectangle = Length × Breadth

Here,

Length = 12 - 8 = 4 cm

Breadth = 3

Area Of Rectangle = Length × Breadth

Area Of Rectangle = 4 × 3

Area Of Rectangle = 12

Area Of Rectangle = 12 cm²

___________________________

We know that,

Area Of Figure = Area Of Square + Area Of Rectangle + Area Of Triangle + Area Of Rectangle

Area Of Figure = 16 + 32 + 10 + 12

Area Of Figure = 70

$\bf {\underline {\boxed {\pink { Area \: Of \: Figure = 70 \: cm^2 }}}}$

Answer 2

hope it helps

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