Rectangular Floors X and Y have equal area. If Floor X is 12

Question

Rectangular Floors X and Y have equal area. If Floor X is 12 feet by 18 feet and Floor Y is 9 feet wide, what is the length of Floor Y, in feet?

(A) 13 1/2
(B) 18
(C) 18 3/4
(D) 21
(E) 24

OmniPrep · Accepted Answer

We can avoid lengthy math here due to the  handout  the question has given us. 12 x 18 for me at least would take some time to work out. Lucky for us the GMAT writers are aware of this and gave one side of the other rectangle as 9. We have an easy comparison here. 9 is 1/2 of 18. In order for their areas to be equal then we must double 12 which becomes 24. These tricks will help you use comparison to solve it in under 20 seconds.

Bunuel · Answer

SOLUTION

Rectangular Floors X and Y have equal area. If Floor X is 12 feet by 18 feet and Floor Y is 9 feet wide, what is the length of Floor Y, in feet?

(A) 13 1/2
(B) 18
(C) 18 3/4
(D) 21
(E) 24

Given:  area=12*18=9*length , thus  length=12*2=24 .

Answer: E.

Club909 · Answer

E.) 24

Floor X has an area equivalent to 12 x 18 which simplifies into 2 x 6 x 9 x 2. Floor Y has the same area and we know one side is 9 feet. Simply dividing Floor X's area (2 x 6 x 9 x 2) by 9 will yield the length of the other side of Floor Y (24 or 2 x 6 x 2).

Sachin9 · Answer

I doubt if the difficulty level is 550 :D

it must be 350.. 18 secs it took. .

tulsa · Answer

I think it's because it can be easy to make a really silly mistake, and not pay 100% attention to the question (Like with every question)

nt2010 · Answer

These are trap questions which can bring your score way down if one is careless.

kanusha · Answer

Just imagined x and y floors are equal in area. So x = y 
As area = lb
12*18=9*x
x = 24

PareshGmat · Answer

Area x = Area Y

12 * 18 = 9 * l

l = 12 * \frac{18}{9} = 24

Answer = E

luckyme17187 · Answer

Always pretty nervous while taking word problems :oops:

But i got this one.. 12*18=216 216/9 = 24

mathiaskeul · Answer

area x equals area y
12 times 18 is 216m
216 divided by the width of y equals the length of y, which is 24.

rhine29388 · Answer

Area of rectangle X = Area of rectangle Y
12 * 18 = 9 * length of Y
length of Y = 24 feet
correct option - E

ScottTargetTestPrep · Answer

The area of a rectangle is: Area = length x width

We are given that floor X is 12 feet by 18 feet and that floor Y is 9 feet wide. So we can say:

length of X = 12

width of X = 18

width of Y = 9

length of Y = n

We also can say:

Area of Floor X = Area of Floor Y

(length of X)(width of X) = (length of Y)(width of Y)

(12)(18) = 9n

(12)(2) = n

24 = n

Answer E.

kamranko · Answer

12*18=9*x 12*9*2=9*x 12*2=x :-D

Wildflower · Answer

Looks like I took the long route to finding out the answer!

Area of the rectangular floor X = L*W --> 12*18 = 216

Area of the rectangular floor Y = L*W --> Y = length * 9

We're given that the areas of floor X and Y are equal --> 216 = length * 9 --> length = 216/9 = 24 --> option E

ZahidPavel · Answer

Rectangular Floors X and Y have equal area. If Floor X is 12 feet by 18 feet and Floor Y is 9 feet wide, what is the length of Floor Y, in feet?

(A) 13 1/2
(B) 18
(C) 18 3/4
(D) 21
(E) 24

12*18 = 9*length
So, length = 24

Answer: E

ArnauG · Answer

Let's denote the length of Floor Y as 'y'. We are given that Floor X is 12 feet by 18 feet, and both floors have equal area.

The area of Floor X is given by its length multiplied by its width:

Area of Floor X = 12 feet * 18 feet = 216 square feet

Since both floors have equal area, the area of Floor Y must also be 216 square feet.

The area of Floor Y is given by its width multiplied by its length:

Area of Floor Y = 9 feet * y

Since the area of Floor Y is 216 square feet, we can set up the following equation:

9 feet * y = 216 square feet
y = 216 square feet / 9 feet = 24 feet

Therefore, the length of Floor Y is 24 feet, which corresponds to option (E).

Rectangular Floors X and Y have equal area. If Floor X is 12

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Rectangular Floors X and Y have equal area. If Floor X is 12

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