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, then ratio AD : PS equals
From the figure, 0.338xy = 0.2ba
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 xa
a2 = 1.69x2
a = 1.3x
ax= 1.3
answer = 1.3