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What is the maximum number of right triangles with legs of length 3 ft

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Senior Manager
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Joined: 26 Dec 2015
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Location: United States (CA)
Concentration: Finance, Strategy
WE: Investment Banking (Venture Capital)
What is the maximum number of right triangles with legs of length 3 ft  [#permalink]

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New post 23 Apr 2017, 09:34
3
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

58% (01:23) correct 42% (01:28) wrong based on 63 sessions

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What is the maximum number of right triangles with legs of length 3 ft and 4 ft that can be cut from the rectangular sheet of metal represented in the figure attached?

A) 7

B) 8

C) 10

D) 12

E) 14

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Manager
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Joined: 02 Aug 2015
Posts: 112
Re: What is the maximum number of right triangles with legs of length 3 ft  [#permalink]

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New post 23 Apr 2017, 10:52
LakerFan24 wrote:
What is the maximum number of right triangles with legs of length 3 ft and 4 ft that can be cut from the rectangular sheet of metal represented in the figure attached?

A) 7

B) 8

C) 10

D) 12

E) 14


Two right angled triangles of length 3ft and height 4ft will combine to give a rectangle of length 3ft and 4ft.

From the given rectangle, 7 such rectangles can be formed.

Hence E.

Cheers!
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Re: What is the maximum number of right triangles with legs of length 3 ft  [#permalink]

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New post 08 May 2018, 05:49
Diwakar003 wrote:
LakerFan24 wrote:
What is the maximum number of right triangles with legs of length 3 ft and 4 ft that can be cut from the rectangular sheet of metal represented in the figure attached?

A) 7

B) 8

C) 10

D) 12

E) 14


Two right angled triangles of length 3ft and height 4ft will combine to give a rectangle of length 3ft and 4ft.

From the given rectangle, 7 such rectangles can be formed.

Hence E.

Cheers!


I didn't understand your logic. Could you please elaborate?
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Re: What is the maximum number of right triangles with legs of length 3 ft  [#permalink]

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New post 08 May 2018, 10:36
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alanforde800Maximus wrote:

I didn't understand your logic. Could you please elaborate?


Sure, Two right angled triangles of sides 3ft and 4ft will combine into a rectangle of length 4ft and width 3ft (diagonal of rect is the hypotenuse).
Area of the rectangle formed by right angled triangle - 4x3 = 12 sq ft
Area of the given rectangle - 12x7 = 84 sq ft.
No of rectangles that can be formed - 84/12 = 7.
Since each rectangle has 2 right triangles, the total no of right triangles that can be formed is 14.

Please feel free to let me know if you still have any doubts.

Cheers!
GMAT Club Bot
Re: What is the maximum number of right triangles with legs of length 3 ft &nbs [#permalink] 08 May 2018, 10:36
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