the areas of three flats A, B and c are in the ratio 5:6:8 respectively, if the difference in the area of flat c and flat A is 270 sq mtrs. what is the area of flat b in sq mts
Answers
ATQ
8x-5x = 3x
8x-5x = 270 then,
3x = 270
x= 270/3
x = 90
area of flat b = 6x
=6*90
=540 sq mtrs
Answer: 540
Step-by-step explanation:
The areas of 3 flats A , B , C are in the ratio of 5 : 6 : 8
The difference in the areas of the flat C and flat A is 270 m²
we need to find the area of flat B in m² .
Given ratio of the areas is ;
5 : 6 : 8
Let,
The area of the flat A be 5x
area of the flat B be 6x
area of the flat C be 8x
( where X is any positive integer )
According to problem ;
The difference between the areas of flat C and flat A is 270 m²
This implies,
8x – 5x = 270 m²
This is because,
we considered the area of flat A and flat C as 5x & 6x respectively .
By solving future we get ;
=> 8x – 5x = 270 m²
=> 3x = 270 m²
=> x = 270 m²/3
=> x = 90 m²
Hence,
value of x is 90 m²
So,
Area of the flat A = 5x = 5 ( 90 m² ) = 450 m²
Area of the flat B = 6x = 6 ( 90 m² ) = 540 m²
Area of the flat C = 8x = 8 ( 90 m² ) = 720 m²
Therefore,
Area of the flat B ( in m² ) = 540 m²
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