Question

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

Answer 1

if flat a:b:c = 5:6:8 then flat a = 5x, b = 6x, c = 8x
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 2

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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