f-length-of-a-rectangle-is-reduced-by-5-umits-and-its-breadth-is-increasesd-3-units-then-area-of-rectangle-is-reduced-by-8-sq-units-if-lenghth-is-reduced-3-units-and-breadth-is-increased-by-2-units

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Question Number 26528 by bbbbbb last updated on 26/Dec/17

$$flengthofarectangleisreducedby5$$$$umitsanditsbreadthisincreasesd$$$$3unitsthenareaofrectangleisreduced$$$$by8squnitsiflenghthisreduced$$$$3unitsandbreadthisincreasedby$$$$2unitsthenareaofrectangle$$$$willincreasedby67squnits.$$$$thenfindlengthandbreadthofrectangle$$

Answered by Rasheed.Sindhi last updated on 26/Dec/17

$$\mathrm{Let}\mathrm{length}\mathrm{\&}\mathrm{width}\mathrm{of}\mathrm{original}\mathrm{rectangle}$$$$\mathrm{are}\mathrm{x}\mathrm{\&}\mathrm{y}\mathrm{respectively}.$$$$\mathrm{xy}-(\mathrm{x}-5)(\mathrm{y}+3)=8\dots \dots .\left(\mathrm{i}\right)$$$$(\mathrm{x}-3)(\mathrm{y}+2)-\mathrm{xy}=67\dots \dots \left(\mathrm{ii}\right)$$$$\left(\mathrm{i}\right)\Rightarrow \mathrm{xy}-\mathrm{xy}+15-3\mathrm{x}+5\mathrm{y}=8$$$$3\mathrm{x}-5\mathrm{y}=7\dots \dots \dots \left(\mathrm{iii}\right)$$$$\left(\mathrm{ii}\right)\Rightarrow \mathrm{xy}+2\mathrm{x}-3\mathrm{y}-6-\mathrm{xy}=67$$$$2\mathrm{x}-3\mathrm{y}=73\dots \dots .\left(\mathrm{iv}\right)$$$$\left(\mathrm{iii}\right)\Rightarrow 6\mathrm{x}-10\mathrm{y}=14$$$$\left(\mathrm{iv}\right)\Rightarrow 6\mathrm{x}-9\mathrm{y}=219$$$$-\mathrm{y}=-205$$$$\mathrm{y}=205$$$$3\mathrm{x}-5\left(205\right)=7$$$$\mathrm{x}=\frac{7+1025}{3}=\frac{1032}{3}=344$$$$\mathrm{Length}=344,\mathrm{Breadth}=205$$

Commented by bbbbbb last updated on 26/Dec/17

$$thanku$$

Commented by AHSoomro last updated on 26/Dec/17

$$\mathrm{Great}\mathrm{Boss}$$

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