Two rectangles, ¨ABCD and ¨PQRS overlap each other as shown in the figure belo

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Two rectangles, ¨ABCD and ¨PQRS overlap each other as shown in the figure below. Also, the overlapped area (shaded region) is 20% ¨ABCD and 33.8% of ¨PQRS. If the ratio of corresponding sides of the two rectangles is same is then ratio AD : PR equals

Options:

A . 1.2

B . 1.5

C . 1.6

D . none of these

Answer: Option D
:
D

option (d)

From the figure, 0.338xy = O.2ba $∴$ ab = 1.69xy ..... (1)Also, since ¨ABCD and ¨PQRS are similar, $\frac{b}{a} - \frac{y}{x} ∴ \frac{b}{y} - \frac{a}{x}$ ..... (2)From (1) and (2), we get $\frac{a}{x}$ = 1.69 $\frac{x}{a}$ a $^{2}$ = 1.69x $^{2}$ a = 1.3x $\frac{a}{x}$ = 1.3 answer = 1.3.

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