Vitral Cost Calculation: A Math Problem

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Hey guys! Let's dive into a fun math problem that's all about art and money! We're talking about a vitral, which is a fancy word for a stained-glass window, and how much it costs to make one. The problem gives us some important info, and then we need to figure out the final price tag. Don't worry, it's easier than it sounds! We'll break it down step by step, so you can totally nail it. So, grab your calculators (or your brainpower!) and let's get started. We'll explore the question of how to determine the total cost that the artisan will charge for the vitral based on the provided data. This involves understanding the given information, performing the necessary calculations, and selecting the correct answer choice. We'll start by making sure we understand what the question is asking us to do, and then we'll break down how to actually solve it. Let's see what we've got!

Understanding the Problem and the Given Information

Alright, first things first: let's make sure we totally get what the question is asking. We've got an artisan, a stained-glass window (the vitral), and a price per square meter. Here's what we know:

  • The artisan charges R$ 800.00 per square meter of the vitral.
  • We need to figure out the total cost of the vitral.

To crack this, we need to know the area of the vitral in square meters. Unfortunately, the problem doesn't directly tell us the area. We will need to have this information to solve the question.

So, before we can calculate the final cost, we need to know the area of the vitral.

To solve this, we are missing the crucial information of the area of the vitral in square meters. Without that, we can't do the calculation. Let's assume the vitral is a rectangle and we have the measurements. For this example let's assume the area is 6.28 square meters. Now that we know the area and the price per square meter, we can calculate the total cost.

Calculating the Total Cost

Now comes the fun part: doing the math! We know the artisan charges R$ 800.00 for every square meter of the vitral. Since we are assuming the vitral to be 6.28 square meters, we will use this information for our calculation.

Here's how we calculate the total cost:

  • Total Cost = Price per Square Meter × Area of the Vitral
  • Total Cost = R$ 800.00 × 6.28 square meters
  • Total Cost = R$ 5,024.00

So, if the vitral has an area of 6.28 square meters, the artisan will charge a total of R$ 5,024.00 for the job. See? Not so tough after all! It's all about understanding what you're given and then using the right formula to get the answer. We used the known value of the vitral's area, then multiplied it by the cost per square meter to reach the total value.

Analyzing the Answer Choices

Now, let's say we had answer choices. We'd look for the one that matches our calculated total cost. The answer is based on the vitral's area. We assumed a value of 6.28 square meters, leading to a cost of R$ 5,024.00.

Let's assume the provided options were:

A) R$ 5,024.00 B) R$ 3,200.00 C) R$ 2,512.00 D) R$ 2,400.00

The correct answer is A) R$ 5,024.00, because it corresponds to the cost calculated when assuming an area of 6.28 square meters. If the area was a different value, the resulting answer would not be A.

Remember, in real exam scenarios, you'd get the area, and you'd choose the option that matches your final calculation.

Tips and Tricks for Solving Similar Problems

Here are some handy tips to help you ace similar problems in the future:

  • Read Carefully: Always take a moment to understand what the problem is asking. Underline or highlight key information (like the price per square meter).
  • Identify the Formula: Figure out which formula you need to use. In this case, it was a simple multiplication: cost per area x area = total cost.
  • Units Matter: Make sure your units are consistent. If the price is per square meter, make sure you know the area in square meters. If you do not have the area measurement, you will have to assume one.
  • Show Your Work: Write down your steps. This helps you avoid silly mistakes and makes it easier to find errors if you get the wrong answer.
  • Double-Check: After you get your answer, quickly reread the problem to make sure your answer makes sense. Does it seem reasonable based on the information given?

By following these tips, you'll be well on your way to acing similar problems.

Conclusion: You Got This!

Alright, guys, that's it! We've successfully calculated the total cost of a stained-glass window. We took a seemingly complex problem and broke it down into easy-to-understand steps. Remember, math is all about understanding the concepts and using the right tools to solve the problem. Keep practicing, and you'll become a math whiz in no time. If you follow these steps, you'll be able to solve similar math problems with ease.

Keep up the great work, and keep exploring the amazing world of math!