d How many meters of carpet 63 cm wide Jemrare.com

Area Calculation MCQ 4: ( How many meters of carpet 63 cm wide)

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Area Calculation MCQ 4: How many meters of carpet 63 cm wide will be required to cover the floor of the room 14 m by 9 m ?

a) 200            b) 220                 c) 210              d) 185


In this question we are given following data;

Width of room =W= 9 m

Length of room =L= 14 m

Width of carpet =w= 63 cm = 0.63 m

Length of carpet = l=?

From this data we can infer that room is rectangular – and area of a rectangle is ;

\[ Area Of Rectangle = Length\times Width \]

So, area of given room is;

\[ Area Of Room= 14\times9=126 m^2 \]


\[ L\times W= 14\times9=126 m^2 \]

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\[ L\times W=126m^2 —-(1 \]

And area of carpet to cover rectangle made by the room is;

\[ Area Of Carpet=l\times w \]

Since carpet will cover the room so area of carpet and room will be equal or same i-e;

\[ Area Of Carpet = Area Of Room \]


\[ l\times w= L\times W \]

Putting values of ‘w’ and ‘LxW’ from eq 1, we get;

\[ l\times 0.63= 126 \]


\[ l=\frac{126}{0.63}=200 m \]

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So the length of carpet will be 200 meters, This carpet of length 200 m and width 0.63 m will be cut into 200/14= 14.285714286 m   each stripe length to cover the room by placing these side by side.

So option  a  is correct !




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