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

$\LARGE{ \underline{ \bf{Required \: answer:}}}$

GiveN:

• Area of the carpet = 4 m × 3 m
• % cover of the floor = 60%
• Width of the floor = 5 m

What to Find?

• Length of the floor?

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:

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