https://file.aiquickdraw.com/mathbot/file/17297921089167is97lqg.jpg

We are given that the number of minutes \( n \) to paint a wall is directly proportional to the area \( a \), and the equation of proportionality is:

\[
n = 3a
\]

We are asked to find the area \( a \) of a wall that takes 24 minutes to paint. The formula provided is:

\[
n = 3a
\]

Substitute \( n = 24 \) into the equation:

\[
24 = 3a
\]

Solve for \( a \):

\[
a = \frac{24}{3} = 8 \, \text{m}^2
\]

Thus, the area of the wall is \( 8.0 \, \text{m}^2 \).

Do you have any questions or want further details?

Here are some related questions for practice:
1. What would be the area of a wall that takes 30 minutes to paint?
2. How long would it take to paint a wall with an area of 10 m²?
3. If the proportionality constant were changed to 4, what would the new equation be?
4. How would the time to paint a wall change if the area was doubled?
5. If it takes 24 minutes to paint a 8 m² wall, how many walls of 5 m² can be painted in 60 minutes?

**Tip:** In direct proportionality problems, always start by identifying the constant of proportionality from the given equation or data.

Work out the area of a wall that takes 24 minutes to paint. If your answer is a decimal, give it to 1 d.p.

Learn how to calculate the area of a wall that takes 24 minutes to paint using the proportionality equation n = 3a. This problem is suitable for students in Grades 6-8, covering key concepts in algebra and proportionality.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation