On the scale drawing of a certain house plan,if 1 centimeter represents x meters,what is the value of x?

(1) A rectangular room that has a floor area of 12 square meters is represented by a region of area 48 square centimeters.

(2) The 15-meter length of the house is represented by a segment 30 centimeters long.

OA:D

Source:OG 2017

## On the scale drawing of a certain house plan

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- crackverbal
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Hi NandishSS,

Keep in mind that this is a value DS where we need to find the value of x, given that 1 centimeter = x meters.

The area of a square is given by a^2 (if we consider each side to be of length 'a').

Actual area of the room is 12 square meters -----> a^2 = 12 ------>

Area of the scale drawing is 48 square centimeters -----> a^2 = 48 ----->

Since 4(root3)centimeters = 2(root3)meters, 1 centimeter = 2(root3)/4(root3) = 1/2 meter.Sufficient.

Given 30 centimeters = 15 meters, 1 centimeter = 15/30 = 1/2 meter. Sufficient.

Hope this helps!

CrackVerbal Academics Team

Keep in mind that this is a value DS where we need to find the value of x, given that 1 centimeter = x meters.

**Statement 1 : A rectangular room that has a floor area of 12 square meters is represented by a region of area 48 square centimeters**The area of a square is given by a^2 (if we consider each side to be of length 'a').

Actual area of the room is 12 square meters -----> a^2 = 12 ------>

**a = 2(root3) meters**Area of the scale drawing is 48 square centimeters -----> a^2 = 48 ----->

**a = 4(root3) centimeters**Since 4(root3)centimeters = 2(root3)meters, 1 centimeter = 2(root3)/4(root3) = 1/2 meter.Sufficient.

**Statement 2 : The 15-meter length of the house is represented by a segment 30 centimeters long.**Given 30 centimeters = 15 meters, 1 centimeter = 15/30 = 1/2 meter. Sufficient.

Hope this helps!

CrackVerbal Academics Team

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- fiza gupta
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1cm = x meter

squaring both sides

1 = x2

(1) 48cm^2=12m^2

cm^2=(1/4)m^2

1cm = 1/2 m

(2) 30cm = 15 m

1cm = 1/2m

both are sufficient

so d

squaring both sides

1 = x2

(1) 48cm^2=12m^2

cm^2=(1/4)m^2

1cm = 1/2 m

(2) 30cm = 15 m

1cm = 1/2m

both are sufficient

so d

Fiza Gupta

### GMAT/MBA Expert

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- GMAT Instructor
**Posts:**6362**Joined:**25 Apr 2015**Location:**Los Angeles, CA**Thanked**: 43 times**Followed by:**25 members

NandishSS wrote: ↑Sun Oct 09, 2016 9:54 amOn the scale drawing of a certain house plan,if 1 centimeter represents x meters,what is the value of x?

(1) A rectangular room that has a floor area of 12 square meters is represented by a region of area 48 square centimeters.

(2) The 15-meter length of the house is represented by a segment 30 centimeters long.

OA:D

Source:OG 2017

**Solution:**

**Question Stem Analysis:**

We need to determine the value of x, which is the number of meters represented by 1 centimeter on a floor plan.

**Statement One Alone:**

Since 12 sq. m equals 48 sq. cm on the floor plan, 1 sq. m equals 4 sq. cm, and hence 1 m equals 2 cm. In other words, 1 cm represents ½ m; that is, x = ½. Statement one alone is sufficient.

**Statement Two Alone:**

Since 15 m equals 30 cm on the floor plan, 1 m equals 2 cm. Again, we can see that 1 cm represents ½ m. Statement two alone is sufficient.

**Answer: D**

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