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# Square and an equilateral triangle each have sides of length 5. What

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Math Expert
Joined: 02 Sep 2009
Posts: 58427
Square and an equilateral triangle each have sides of length 5. What  [#permalink]

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27 Jan 2019, 23:55
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85% (01:34) correct 15% (03:29) wrong based on 30 sessions

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Square and an equilateral triangle each have sides of length 5. What is the ratio of the area of the square to the area of the triangle?

A. $$\frac{4}{3}$$

B. $$\frac{16}{9}$$

C. $$\frac{3}{4}$$

D. $$\frac{4\sqrt{3}}{3}$$

E. $$\frac{16\sqrt{3}}{9}$$

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Square and an equilateral triangle each have sides of length 5. What  [#permalink]

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28 Jan 2019, 02:22
Bunuel wrote:
Square and an equilateral triangle each have sides of length 5. What is the ratio of the area of the square to the area of the triangle?

A. $$\frac{4}{3}$$

B. $$\frac{16}{9}$$

C. $$\frac{3}{4}$$

D. $$\frac{4\sqrt{3}}{3}$$

E. $$\frac{16\sqrt{3}}{9}$$

area of square ; s^2
area of equilateral triangle : sqrt 3 * s^2 / 4

ratio : s^2/ sqrt 3 * s^2 / 4

or say ; 4*sqrt3/3
IMO D
Square and an equilateral triangle each have sides of length 5. What   [#permalink] 28 Jan 2019, 02:22
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