In the figure shown, the small square divides the diagonal of the larg

Question

https://gmatclub.com/forum/download/file.php?id=58589 In the figure shown, the small square divides the diagonal of the large square into three equal parts. What is the ratio of the area of the large square to the area of the small square? A. 2:1 B. 3:1 C. 6:1 D. 9:1 E. 18:1 Project PS Butler Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS 2020-10-27_12-30-55.png

rajatchopra1994 · Answer

Explanation:

Area of Square = (1/2)*d^2
Area of larger square with diagoanal 3x is = (1/2)*(3x)^2= (9x^2) / 2 
Area of smaller square with diagonak x is = (1/2)*(x)^2 = (x^2) /2

the ratio of the area of the large square to the area of the small square = (9x^2) /2 : (x^2)/2
9:1

IMO-D

prashant0099 · Answer

quite straight forward ,

area of larger square= 3X * 3X

whereas the area of smaller square= X * X

hence the ratio of area = 9:1

Hence D

Harsh9676 · Answer

IMO D

Let the side of the bigger Square be S and Smaller square be D

Diagonal length = S * Sqrt (2) therefore, diagonal of smaller square D (Sqrt 2) = S * Sqrt(2) / 3 ......implies D = S/3

Area of Bigger square = S^2 and Area of Smaller square = (S/ 3) ^ 2 >> S^2/9

Ratio = S^2 : S^2/9 >> 9:1

AnkitHRD · Answer

Since we are only given diagonals of square. Helpful formula is Area of Square = ½ × d2

Smaller Sq = 1/2 x x^2
Larger Sq = 1/2 x (3x)^2 = 1/2 x 9x^2

Asked ratio Larger/Smaller = 1/2 x 9x^2 / 1/2 x x^2 = 9/1 and D

akadiyan · Answer

Given :
Diagonal of larger square = 3x
Diagonal of smaller square = x

Area of a square =  \frac{1}{2 } *  (d^2)

Area of larger square =  \frac{1}{2}  *  9x^2

Area of smaller square =  \frac{1}{2}  *  x^2

Ratio of area = 9:1

Ans:   D

GCMEMBER · Answer

Area of square = (1/2)*d^2, where d is the length of the diagonal

Area of large square = (1/2)*(3x)^2
Area of small square = (1/2)*x^2

Ratio = (9x^2)/(x^2)
Ratio = 9:1

Choice D

In the figure shown, the small square divides the diagonal of the larg

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In the figure shown, the small square divides the diagonal of the larg

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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