Cost of Polishing a Rectangular Floor

To find the cost of polishing a rectangular floor, we need to calculate the area of the floor and then multiply it by the rate per square meter. Let's break down the process step by step.

Step 1: Understand the Problem
We are given the dimensions of the rectangular floor, which is 500 cm long and 400 cm wide. We also know that the rate of polishing is 4 rupees per square meter.

Step 2: Calculate the Area of the Floor
To find the area of a rectangle, we need to multiply its length by its width. In this case, the length is 500 cm and the width is 400 cm. So, the area of the floor can be calculated as:
Area = Length x Width
= 500 cm x 400 cm
= 200,000 square cm

Step 3: Convert the Area to Square Meters
The rate of polishing is given in rupees per square meter, so we need to convert the area from square centimeters to square meters. To do this, we divide the area by 10,000 (since 1 square meter is equal to 10,000 square centimeters).
Area in square meters = Area in square cm / 10,000
= 200,000 cm² / 10,000
= 20 square meters

Step 4: Calculate the Cost of Polishing
Now that we have the area of the floor in square meters, we can calculate the cost of polishing by multiplying the area by the rate per square meter. The rate is given as 4 rupees per square meter.
Cost of polishing = Area in square meters x Rate per square meter
= 20 square meters x 4 rupees per square meter
= 80 rupees

Step 5: Answer
The cost of polishing the rectangular floor is 80 rupees.

Summary
To calculate the cost of polishing a rectangular floor, we first find the area of the floor by multiplying its length and width. Then, we convert the area from square centimeters to square meters. Finally, we multiply the area by the rate per square meter to determine the cost. In this case, the cost of polishing the floor is 80 rupees.

What is the answer?