Math, asked by sonisatyam278, 8 months ago

find the area of green figure ​

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Answers

Answered by lodhiyal16
2

Answer:

Step-by-step explanation:

(8- y ) A = 25 ......(1)

(9-y) A = 32 ....(1)

9A - yA - 8A -y A= 32 -25

1 A = 7

A = 7

(x +y) A = 25 + required area

8 * 7 = 25 + required area

31 = Required area

So the area of green Shaded part is 31 cm²

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Answered by Anonymous
1

Given :

A figure containing problem .

To find :

The area of the green region .

Solution :

The breadth is the same for all regions .

Let the breadth be y and the length of the green region be x .

Now ,

( 9 - x ) * y = 32 cm^{2}                ....(i)

( 8 - x ) * y = 25 cm^{2}                ....(ii)

subtracting (ii) from (i) ,

( 9 - x ) * y - ( 8 - x ) * y = ( 32 - 25 ) cm^{2}

=> 9y - xy - 8y + xy = 7 cm^{2}

=> y = 7 cm

putting the value of y in (i) ,

( 9 - x ) * 7 = 32 cm^{2}  

=> 63 - x*7 = 32 cm^{2}  

=> area of the green region = x*7 =  ( 63 - 32 ) cm^{2}

=>  area of the green region = 31 cm^{2}

The area of the green region is 31 cm^{2} .

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