find the area of green figure
Answers
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
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 ....(i)
( 8 - x ) * y = 25 ....(ii)
subtracting (ii) from (i) ,
( 9 - x ) * y - ( 8 - x ) * y = ( 32 - 25 )
=> 9y - xy - 8y + xy = 7
=> y = 7 cm
putting the value of y in (i) ,
( 9 - x ) * 7 = 32
=> 63 - x*7 = 32
=> area of the green region = x*7 = ( 63 - 32 )
=> area of the green region = 31
The area of the green region is 31 .