A rectangular floor that measures 8 meters by 10 meters is to be cover

Question

A rectangular floor that measures 8 meters by 10 meters is to be covered with carpet squares that each measure 2 meters by 2 meters. If the carpet squares cost $12 apiece, what is the total cost for the number of carpet squares needed to cover the floor?

(A) $200
(B) $240
(C) $480
(D) $960
(E) $1,920

Kudos for a correct solution.

(A) $200
(B) $240
(C) $480
(D) $960
(E) $1,920

Skywalker18 · Answer

Number of carpets required to cover the entire floor = total floor area/ area of carpet
 = 10x8 /2x2
 = 20
Total cost of carpet squares = 20 x 12 = 240 $
Answer B

GMATinsight · Answer

No. of Carpets required to Cover the floor = (8*10)/(2*2) = 20

Total Price to 20 pieces @$12 per piece = 12*20 = $240

Answer: option B

MathRevolution · Answer

Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.

A rectangular floor that measures 8 meters by 10 meters is to be covered with carpet squares that each measure 2 meters by 2 meters. If the carpet squares cost $12 apiece, what is the total cost for the number of carpet squares needed to cover the floor?

(A) $200
(B) $240
(C) $480
(D) $960
(E) $1,920

Kudos for a correct solution.

(A) $200
(B) $240
(C) $480
(D) $960
(E) $1,920

The width of the rectangular floor(8 m) is a multiple of one side of the square(2 m), and the length of the floor(10 m) is also a multiple of the side of the square. So the number of carpets to cover the floor is (8/2)*(10/2)=20.

The total cost is 20*12=$240.

The answer is, therefore, B.

LaxAvenger · Answer

8 * 10 = 80m^2
2 * 2 = 4m^2

80 / 4 = 20

20 * $12 = $240

Answer (B)

rhine29388 · Answer

Area of rectangular floor = 10*8 = 80 sq.metres

Area of small carpet squares = 2*2 = 4 sq.metres

Number of pieces required for carpeting = 80/4 = 20 pieces

cost of each piece = $12

Total cost = 20 *12 = $240

correct answer - B

JeffTargetTestPrep · Answer

A rectangular floor with the dimensions of 8 meters by 10 meters needs to be covered by carpet squares. Each carpet square measures 2 meters by 2 meters and costs $12 per square. We must determine the total cost to cover the floor in carpet squares. Let’s start by determining the area of the floor and the area of each carpet square.

Area of floor = 8 x 10 = 80

Area of each carpet square = 2 x 2 = 4

Thus, the total number of carpet squares needed to cover the floor = 80/4 = 20 carpet squares.

Since the cost of each carpet square is $12, the total cost for 20 carpet squares = 20 x $12 = $240

Answer: B

Abhishek009 · Answer

Area of rectangular floor = 8 * 10 =>80

Area of a piece of carpet square = 2 * 2 => 4

No of pieces of carpet square required is = 80/4 =>20

Thus the total cost of Carpet square required to cover the rectangular floor will be 20 * 12 = $240

Answer will be (B)

JeffTargetTestPrep · Answer

A rectangular floor with the dimensions of 8 meters by 10 meters needs to be covered by carpet squares. Each carpet square measures 2 meters by 2 meters and costs $12 per square. We must determine the total cost to cover the floor in carpet squares. Let’s start by determining the area of the floor and the area of each carpet square.

Area of floor = 8 x 10 = 80

Area of each carpet square = 2 x 2 = 4

Thus, the total number of carpet squares needed to cover the floor = 80/4 = 20 carpet squares.

Since the cost of each carpet square is $12, the total cost for 20 carpet squares = 20 x $12 = $240

Answer: B

Senthil1981 · Answer

No. of 2 by 2 Carpets required to Cover the floor = (8*10)/(2*2) = 20

Total Price to 20 pieces ($12 per piece) = 12*20 = $240

TheUltimateWinner · Answer

Area of floor=10*8=80
Area of carpet=2*2=4
So, carpet need to cover the floor=80/4=20 pieces 
So, total cost of will be=20*12=240 dollars.
 So, the correct answer is B.

khera · Answer

The area of the floor is (10 m)(8 m) = 80 m2 and 
the area of each carpet square is (2 m)(2 m) = 4 m2•
Therefore, the number of carpet squares needed 
to cover the floor is 80 = 20, and these 20 carpet
squares have a total cost of (20)($12) = $240

ZahidPavel · Answer

A rectangular floor that measures 8 meters by 10 meters is to be covered with carpet squares that each measure 2 meters by 2 meters. If the carpet squares cost $12 apiece, what is the total cost for the number of carpet squares needed to cover the floor?

(A) $200
(B) $240
(C) $480
(D) $960
(E) $1,920

Kudos for a correct solution.

(A) $200
(B) $240
(C) $480
(D) $960
(E) $1,920

Area of rectangular floor = 8*10 = 80
Area of each carpet = 2*2 = 4
Total carpets need = 80/4 = 20
One carpet costs = 12
so, 20 carpets cost = 12*20 = 240

Answer: B

ArnauG · Answer

To find the total cost of carpet squares needed to cover the rectangular floor, we need to calculate the number of carpet squares required and then multiply it by the cost per square.

The area of the rectangular floor is calculated by multiplying the length and width:
Area = Length × Width = 8 meters × 10 meters = 80 square meters

Since each carpet square measures 2 meters by 2 meters, the area covered by each carpet square is:
Area of each carpet square = 2 meters × 2 meters = 4 square meters

To determine the number of carpet squares needed to cover the floor, we divide the total area of the floor by the area of each carpet square:
Number of carpet squares = Area of the floor / Area of each carpet square = 80 square meters / 4 square meters = 20

Now, we can calculate the total cost by multiplying the number of carpet squares by the cost per square:
Total cost = Number of carpet squares × Cost per square = 20 × $12 = $240

Therefore, the total cost for the number of carpet squares needed to cover the floor is (B) $240

A rectangular floor that measures 8 meters by 10 meters is to be cover

Prep Toolkit

Top 5 GMAT Debrief Videos

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

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

A rectangular floor that measures 8 meters by 10 meters is to be cover

Prep Toolkit

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

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards