Question

The areas of three flats are in the ratio 5 : 6 : 8. If the difference in the areas of flat C and flat A is 180 square metres, find the area of the flat b.
The one who will answer this correctly, I will mark him/her as a brainliest.

Answer 1

Answer:

$\huge\star \underline{ \boxed{ \purple{Answer}}}\star$

Area of flat b = 360 sq. metres

Step-by-step explanation:

Given :-

The areas of three flats are in the ratio 5 : 6 : 8.

the difference in the areas of flat C and flat A is 180 square metres.

To find :-

the area of the flat b.

Solution :-

$\sf{Let\:the\:areas\:be\:5x,6x\:and\:8x}$

According to the question,

➝$\sf{Area\:of\:flat\:C\:-\:Area\:of\:flat\:A\:=\:180\:sq.\:metres}$

So,

➝$\sf{8x\:-\:5x\:=\:180\:sq.\:metres}$

➝$\sf{3x\:=\:180}$

➝$\sf{x\:=\:\huge\frac{\cancel{180}}{\cancel{3}}\:60}$

➝$\sf{x\:=\:60\:sq.\:metres}$

Now,

Finding area of flat A

$\sf{Area\:of\:flat\:A\:=\:5x}$

So,it will be,

➝$\sf{Area\:of\:flat\:A\:=\:5(60)}$

➝$\sf{Area\:of\:flat\:A\:=\:300\:sq\:metres}$

Finding area of flat B

$\sf{Area\:of\:flat\:B\:=\:6x}$

So,it will be,

➝$\sf{Area\:of\:flat\:B\:=\:6(60)}$

➝$\sf{Area\:of\:flat\:B\:=\:360\:sq.\:metres}$

Finding area of flat C

$\sf{Area\:of\:flat\:C\:=\:8x}$

So,it will be,

➝$\sf{Area\:of\:flat\:C\:=\:8(60)}$

➝$\sf{Area\:of\:flat\:C\:=\:480\:sq.\:metres}$