If r, s, and t are the areas of the square regions shown abo

Question

image rst.jpg If r, s, and t are the areas of the square regions shown above, what is the value of \frac{r}{r+s+t} ? a) 49/1010 b) 7/17 c) 1/8 d) 1/16 e) 1/21

Wattabulb · Answer

You can easily see that each square is 1/4th (in area) of the square below...which makes calcualations as follows:
(1/16)  /  (1/16 +1/4 + 1)

fozzzy · Answer

How did you get area is 1/4th please explain....

Bunuel · Answer

https://gmatclub.com/forum/download/file.php?id=20968 
 If r, s, and t are the areas of the square regions shown above, what is the value of  \frac{r}{r+s+t} ?

a) 49/1010 
b) 7/17
c) 1/8
d) 1/16
e) 1/21

Side of the largest square = 1 --> area = 1;
Side of the middle square = 3/2 - 1 = 1/2 --> area = 1/4;
Side of the smallest square = 7/4 - 3/2 = 1/4 --> area = 1/16.

(1/16)/(1/16 + 1/4 +1) = 1/21.

Answer: E.

firas92 · Answer

The figure shows that the sides of the squares are in the ratio 1 : 0.5 : 0.25

Since we need to find a fraction, just pick the side of the largest square to be 8 which would mean the other two squares have sides 4 & 2.

So their areas are in the ratio 64:16:4

We need to find  \frac{4}{(64+16+4)}  =  \frac{1}{21}

If r, s, and t are the areas of the square regions shown abo

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If r, s, and t are the areas of the square regions shown abo

Prep Toolkit

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