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

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Senior Manager
Joined: 26 Dec 2015
Posts: 262
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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23 Apr 2017, 09:34
3
00:00

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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217695.18.gmc74207s.gif [ 1.43 KiB | Viewed 738 times ]

Manager
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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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!
Manager
Joined: 13 Sep 2016
Posts: 120
Re: What is the maximum number of right triangles with legs of length 3 ft  [#permalink]

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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!

Manager
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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08 May 2018, 10:36
1
alanforde800Maximus wrote:

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!
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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