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# Find A(XYTS)

PQRS is a rectangle and XYTS is a square. Length and breadth of the rectangle is 18cm and 12cm respectively. Find the area of XYTS.

I need help to solve this problem. I do not know the right answer. You can post the solution in the comments section.

Note by Ojasee Duble
8 months, 2 weeks ago

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Assume the side of the square to be $$x.$$

Then $$PX$$ = $$18-x$$, $$XY$$ = $$x$$ , $$PS$$ = $$18$$ and $$SR$$ = $$12.$$

$$\Delta PXY \sim \Delta PSR.$$

=> $$\frac{PX}{PS} = \frac{XY}{SR}$$ => $$\frac{18-x}{18} = \frac{x}{12}$$. => $$x = 7.2$$ => $$x^{2} = 51.84$$

- 7 months, 3 weeks ago

7.2 * 7.2 = 51.84

how did you get 50.44?

- 7 months, 1 week ago

Thanks a lot! :)

By the way, have you deactivated your slack account? I tried to reach you.

- 7 months, 2 weeks ago

Nah!! I will talk with you on 10th of the month. The owner is busy in exam, and I am out here.

- 7 months, 2 weeks ago

Okay

- 7 months, 2 weeks ago

Now come. We all are active on the team.

- 7 months, 2 weeks ago