The rectangular floor of a certain room has dimensions 30 feet by 20

Question

The rectangular floor of a certain room has dimensions 30 feet by 20 feet. Which of the following is closest to the area of the floor, in square meters? (1 foot = 0.305 meter, rounded to the nearest thousandth.)

A. 56
B. 183
C. 365
D. 667
E. 6,667

A. 56
B. 183
C. 365
D. 667
E. 6,667

saynchalk · Accepted Answer

It is best to first convert 30 ft and 20 ft into meters

you will get 9.15 meters and 6.10 meters

9.15 m * 6.10 m = 55.815 square meters

best way to do it

Gprabhumir · Answer

You are given 1 foot = 0.305 meter, rounded to the nearest thousandth. If you multiply  30*20=600  square feet by 0.305 meter, you're definitely getting it wrong.

Convert feet to meters and the multiply the two dimensions to get square meters.

Alternatively, multiply  0.305^2 to 600 square feet to convert it to square meters, whichever approach suits you!

Answer is A

Hope it helps!

Bunuel · Answer

Is this question from  GMAT Prep Focus exams or Official Guide? Thank you!

Gprabhumir · Answer

Hi  Bunuel ,
This question is from the GMAT Focus Edition official practice exam 4.

Bunuel · Answer

Removed the Official Guide tag. Thank you!

ashdank94 · Answer

Is there an easier and quicker way to solve such a large equation?

guftydjkfk · Answer

im i supposed to get the results without a calculator ?

saynchalk · Answer

yes, GMAT quant section is without calculator. try to study the Unit Conversions as a chapter by itself to begin with. Let me know if you want to use the study process I used

guftydjkfk · Answer

thank you , yes please

saynchalk · Answer

I've messaged it to you, it will be in your Inbox

napolean92728 · Answer

I feel the easiest way is via approximation, first convert 30 feet to meters, don't take 0.305 instead take 0.3, 30 feet equals 9 meters, and likewise 20 feet equals 6 meters, and we get the answer as 54, which is closest to 56, and hence the answer is  option A .

KrellaGorila · Answer

Since only approx. value is required and the answer choices are spaced wide
here's how i did it quickly -

Surface area of floor (in   ft^2) = 30 * 20 = 600 ft^2

Conversion factor   = 0.3 * 0.3 \approx{0.09} m^2/ft^2

Surface area (in   m^3) = 600 * 0.09 \approx{54} m^2

Hence option A.

The rectangular floor of a certain room has dimensions 30 feet by 20

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The rectangular floor of a certain room has dimensions 30 feet by 20

Prep Toolkit

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

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