# 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

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 ! Copyright secured by Digiprove © 2020
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