Question

The area of three flats A, B & C are in the ratio of 5:6:8 respectively. If the difference in the area of the flat C and flat A is 270m^2. What is the area of flat B in m^2?​

Answer 1

Given: The area of three flats are in the ratio of 5:6:8 and the difference in the area of the flat C and flat A is 270m².

Need to find: The area of flat B.

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❍ As the area of the flats are in the ratio of 5:6:8, so let the areas of the flats be 5x, 6x and 8x.

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$\underline{\bigstar\;\boldsymbol{According\;to\;the\;Question:}}$

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• The difference in the area of flat C and flat A is 270m².

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Therefore,

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$:\implies\sf{8x-5x=270}\\\\\\:\implies\sf{3x=270}\\\\\\:\implies\sf{x=\cancel{\dfrac{270}{3}}}\\\\\\:\implies\boxed{\underline{\pink{\frak{x=90\;m^2}}}}{\;\bigstar}$

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Hence,

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• Area of flat A = 5x = 5(90) = 450m²
• Area of flat B = 6x = 6(90) = 540m²
• Area of flat C = 8x = 8(90) = 720m²

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$\therefore\;{\underline{\sf{Hence,\;the\;area\;of\;flat\;B\;is\;\frak{540\;m^2}}.}}$⠀⠀

Answer 2

given that

the difference in the area of the flat c and flat A

is 270m^2

now

8x-5x=270

3x=270

x=90

area of flat B in m^2

is 6x

6×90=540 m^2

.