Area Calculation MCQ 4: ( How many meters of carpet 63 cm wide)
a) 200 b) 220 c) 210 d) 185
Solution:
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;
\[ Area Of Room= 14\times9=126 m^2 \]
or
\[ L\times W= 14\times9=126 m^2 \]
or
\[ L\times W=126m^2 —-(1 \]
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;
\[ Area Of Carpet = Area Of Room \]
or
\[ l\times w= L\times W \]
Putting values of ‘w’ and ‘LxW’ from eq 1, we get;
\[ l\times 0.63= 126 \]
or
\[ l=\frac{126}{0.63}=200 m \]
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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