In an art museum, there is a wall that is 18 m 40 cm

wide. Eleven frames, each 80 cm wide, are hung on the

wall. How long is the interval between each frame

needed to make the distance between the left and right

ends of the wall and the frames the same?

We are given a wall that is 18 meters 40 centimeters (or 18.4 meters) wide. There are 11 frames, each 80 cm wide, which is equivalent to 0.8 meters per frame. We need to calculate the equal interval between each frame so that the distance from the left and right ends of the wall to the frames is the same.

### Step 1: Total width of the frames
The total width of the 11 frames is:
\[
\text{Total width of frames} = 11 \times 0.8 = 8.8 \text{ meters}.
\]

### Step 2: Remaining space on the wall
The total width of the wall is 18.4 meters, so the remaining space that is not occupied by the frames is:
\[
\text{Remaining space} = 18.4 - 8.8 = 9.6 \text{ meters}.
\]

### Step 3: Number of gaps
There are 12 gaps in total (one between each pair of frames, and one on each end of the row).

### Step 4: Width of each interval
To find the width of each interval between the frames, we divide the remaining space by the number of gaps:
\[
\text{Interval width} = \frac{9.6}{12} = 0.8 \text{ meters}.
\]

Thus, the interval between each frame (and also between the ends of the wall and the nearest frame) should be **0.8 meters**.

---

Do you need further details or have any questions?  
Here are 5 related questions you could explore:

1. How would the interval change if there were 10 frames instead of 11?
2. What would be the interval if the wall was only 15 meters wide?
3. If each frame was 90 cm wide, what would the new interval be?
4. How much total space would be occupied by the frames if each one were 100 cm wide?
5. If you wanted the interval to be exactly 1 meter, what would the new wall width need to be?

**Tip:** When calculating spacing for objects like frames, always ensure you account for the total number of gaps, which usually includes one more gap than the number of objects placed in a row!

In an art museum, there is a wall that is 18 m 40 cm wide. Eleven frames, each 80 cm wide, are hung on the wall. How long is the interval between each frame needed to make the distance between the left and right ends of the wall and the frames the same?

Learn how to calculate the equal spacing between 11 frames on an 18.4-meter wall with a detailed step-by-step solution. The frames are 80 cm wide, and the intervals are calculated based on the remaining space after placing the frames. 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