Mr. Martinez wants to fence up his garden. His rectangular garden is 3 meters 10 centimeters long, and 150 centimeters wide. How many meters and centimeters of fencing does he need... Mr. Martinez wants to fence up his garden. His rectangular garden is 3 meters 10 centimeters long, and 150 centimeters wide. How many meters and centimeters of fencing does he need?
Understand the Problem
The question asks us to calculate the amount of fencing needed to enclose Mr. Martinez's rectangular garden. We will need to calculate the perimeter of the rectangle, given its length (3 meters 10 centimeters) and width (150 centimeters). We will need to convert all measurements to the same unit (either meters or centimeters) before calculating the perimeter.
Answer
9 meters and 20 centimeters
Answer for screen readers
9 meters and 20 centimeters
Steps to Solve
- Convert the length to centimeters
We know that 1 meter is equal to 100 centimeters. Therefore, 3 meters is equal to $3 \times 100 = 300$ centimeters. So, 3 meters 10 centimeters is equal to $300 + 10 = 310 $ centimeters.
- Calculate the perimeter in centimeters
The perimeter of a rectangle is given by the formula $P = 2l + 2w$, where $l$ is the length and $w$ is the width. In this case, $l = 310$ cm and $w = 150$ cm. So, the perimeter is $P = 2(310) + 2(150) = 620 + 300 = 920$ centimeters.
- Convert the perimeter back to meters and centimeters
Since 1 meter is equal to 100 centimeters, we divide the total centimeters by 100 to find the number of meters. $920 \div 100 = 9$ with a remainder of $20$. This means the perimeter is 9 meters and 20 centimeters.
9 meters and 20 centimeters
More Information
The perimeter represents the total length of fencing needed to enclose the garden.
Tips
A common mistake is forgetting to convert the units to be the same before calculating the perimeter. Another mistake is using the area formula instead of the perimeter formula.
AI-generated content may contain errors. Please verify critical information
