https://file.aiquickdraw.com/mathbot/file/1726382206685f46d7jtf.jpg

The problem asks: "A square land is covered with \( \frac{1}{3} \) area of buildings. What is the remaining land in area percentage?"

### Solution:
The total area of the land represents 100%. If \( \frac{1}{3} \) of the area is covered by buildings, the remaining portion is:

\[
\text{Remaining area} = 1 - \frac{1}{3} = \frac{2}{3}
\]

To express this as a percentage:

\[
\frac{2}{3} \times 100 = 66.67\%
\]

### Answer:
The remaining land in area percentage is **66.67%**, which matches option (b).

Would you like further details or have any questions?

Here are some related questions for further practice:
1. If half of the land is covered, what percentage remains?
2. What if \( \frac{1}{4} \) of the land is covered, what is the remaining percentage?
3. How much land would remain if \( \frac{2}{5} \) of it is covered by buildings?
4. Convert \( \frac{2}{3} \) to decimal form.
5. What fraction of the land is left if 40% is covered by buildings?

**Tip:** Always convert fractions into percentages by multiplying by 100 to easily understand proportions in real-world contexts.

A square land is covered with 1/3 area of buildings. What is the remaining land in area percentage?

Learn how to calculate the remaining land percentage when 1/3 of a square plot is covered by buildings. This problem demonstrates simple fraction subtraction and conversion to percentages, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation