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A rectangular floor that measures 8 meters by 10 meters is to be covered with carpet squares that each measure 2 meters

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by M7MBA » Thu Sep 17, 2020 1:36 am

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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

Answer: B

Source: Official Guide
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Source: — Problem Solving |

M7MBA wrote:
Thu Sep 17, 2020 1:36 am
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

Answer: B

Source: Official Guide
Area of rectangular floor \(= 8 \cdot 10 = 80\)

Area of a piece of carpet square \(= 2 \cdot 2 = 4\)

Number of pieces of carpet square required is \(= \dfrac{80}{4} = 20\)

Thus the total cost of Carpet square required to cover the rectangular floor will be \(20 \cdot 12 = \$240\)
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