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In the floor plan of an executive's beach house above, the north and
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26 Apr 2019, 01:43

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E

Difficulty:

65% (hard)

Question Stats:

60% (02:22) correct 40% (02:31) wrong based on 641 sessions

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In the floor plan of an executive's beach house above, the north and south walls of the living room are parallel. What is the floor area, in square feet, of the bedroom?

A. \(450\sqrt{3}\)

B. 450

C. \(225\sqrt{3}\)

D. 225

E. It cannot be determined from the information given.

In the floor plan of an executive's beach house above, the north and
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26 Apr 2019, 18:23

Bunuel wrote:

In the floor plan of an executive's beach house above, the north and south walls of the living room are parallel. What is the floor area, in square feet, of the bedroom?

A. \(450\sqrt{3}\)

B. 450

C. \(225\sqrt{3}\)

D. 225

E. It cannot be determined from the information given.

Re: In the floor plan of an executive's beach house above, the north and
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27 Apr 2019, 05:38

bedroom area is equilateral ∆ side 30 30^2 *√3/4 IMO C \(225\sqrt{3}\)

Bunuel wrote:

In the floor plan of an executive's beach house above, the north and south walls of the living room are parallel. What is the floor area, in square feet, of the bedroom?

A. \(450\sqrt{3}\)

B. 450

C. \(225\sqrt{3}\)

D. 225

E. It cannot be determined from the information given.

Re: In the floor plan of an executive's beach house above, the north and
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02 May 2019, 17:18

Bunuel wrote:

In the floor plan of an executive's beach house above, the north and south walls of the living room are parallel. What is the floor area, in square feet, of the bedroom?

A. \(450\sqrt{3}\)

B. 450

C. \(225\sqrt{3}\)

D. 225

E. It cannot be determined from the information given.

We see that a side of the smaller triangular kitchen is exactly half of the larger triangle that comprises of the bath, kitchen and living room (30 ft vs. 60 ft). Since the two triangles are similar, then the side of the kitchen that opens to the bedroom is 15 ft since the wall that borders the living room and the bedroom is 15 ft. Thus, the bedroom is in the shape of an equilateral triangle with side length of 30 ft. Therefore, the bedroom has an area of (30^2 x √3)/4 = 900√3/4 = 225√3 square feet.

In the floor plan of an executive's beach house above, the north and
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20 May 2019, 18:48

Bunuel wrote:

In the floor plan of an executive's beach house above, the north and south walls of the living room are parallel. What is the floor area, in square feet, of the bedroom?

A. \(450\sqrt{3}\)

B. 450

C. \(225\sqrt{3}\)

D. 225

E. It cannot be determined from the information given.

In the floor plan of an executive's beach house above, the north and
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25 May 2019, 07:48

Bunuel wrote:

In the floor plan of an executive's beach house above, the north and south walls of the living room are parallel. What is the floor area, in square feet, of the bedroom?

A. \(450\sqrt{3}\)

B. 450

C. \(225\sqrt{3}\)

D. 225

E. It cannot be determined from the information given.

I think the answer should be E unless the Q clearly specifies that the "shark fin" is part of the bedroom. We wouldn't have cared about the area of "shark fin" if we had 2 "shark fins" connected to the bedroom, one outside and one inside so that they could have cancelled each other out.

From the tags, it seems to be an official Q but I'm surprised that an official Q has this kind of ambiguity.

Re: In the floor plan of an executive's beach house above, the north and
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27 May 2019, 05:20

ankur_1988 wrote:

Hi Scot/Payal,

What are we not subtracting the area of the "shark fin" portion? Response would be appreciated.

The “shark fin” portions in the diagram tell us that there’s a door there and also tells us in which direction the door is opening. It’s the way technical drawings for floor plans are made. Considering also that we are told neither about the dimensions of the “shark fin” parts nor that those sections are actually quarter circles as they look, we can safely ignore those portions.
_________________

Re: In the floor plan of an executive's beach house above, the north and
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29 May 2019, 13:26

Bunuel wrote:

In the floor plan of an executive's beach house above, the north and south walls of the living room are parallel. What is the floor area, in square feet, of the bedroom?

A. \(450\sqrt{3}\)

B. 450

C. \(225\sqrt{3}\)

D. 225

E. It cannot be determined from the information given.

We can use mid point theorem. The side of the kitchen that opens to the bedroom is 15 ft, since the wall that borders the living room and the bedroom is 15 ft. Thus, the bedroom is in the shape of an equilateral triangle with side length of 30 ft. Therefore, the bedroom has an area of (30^2 x √3)/4 = 900√3/4 = 225√3 square feet.