Question

A carpet measuring 4m by 3m cover 60% of the floor area in a rectangular room. what is the length of the room if the width is 5m​

Answer 1

Step-by-Step Explanation:

According to question, 60% of the floor area is the area of the carpet spread over the floor. So, we can simply write it as:

➝ 60% × Floor area = Area of the carpet.

Now we know the area of the carpet. The floor is also in the form of a rectangle, it will be Length × Breadth too. We have the breadth, and let the length be l.

➝ 60% × (l × 5 m) = 4 m × 3 m

➝ 3/5 × 5l = 4 × 3

➝ 5l = 4 × 3 × 5 / 3

➝ 5l = 4 × 5

➝ l = 4 m

Therefore,

The required length of the floor is:

\huge{ \boxed{ \sf{ \red{4 \: m}}}}

4m

Answer 2

Given,

Area of carpet $\[ = 4m \times 3m\]$

Width of room $\[ = 5m\]$

Carpet covers $\[60\% \]$ of the floor area.

Solution,

Consider the length of room is l.

$\[60\% \times area\,of\,room = area\,of\,carpet\]$

$\[\begin{array}{l} \Rightarrow 0.6 \times l \times 5 = 4 \times 3\\ \Rightarrow l \times 3 = 12\\ \Rightarrow l = 4m\end{array}\]$

Hence the length of room is $\[4m\]$