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

1.2

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1.5

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1.6

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none of these

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Solution

The correct option is D none of these
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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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

The correct option is D none of theseoption (d) From the figure, 0.338xy = O.2ba ∴ab = 1.69xy ..... (1)Also, since ¨ABCD and ¨PQRS are similar,ba−yx∴by−ax..... (2)From (1) and (2), we get ax = 1.69 xaa2 = 1.69x2 a = 1.3x ax= 1.3 answer = 1.3.