https://file.aiquickdraw.com/mathbot/file/1729218179866a01jalgi.jpg

The problem asks to find the height of a photograph when it is enlarged proportionally.

We are given:
- The original dimensions of the photograph: 5 inches high and 7 inches wide.
- The width of the enlarged canvas: 38.5 inches wide.
- We need to find the height of the enlarged photograph.

The key here is that the enlargement is proportional. So, we set up a ratio between the original and the enlarged dimensions.

The ratio of the original width to the new width is:
\[
\frac{7}{38.5}
\]
This ratio should be equal to the ratio of the original height to the new height (let's call the new height \( h \)):
\[
\frac{7}{38.5} = \frac{5}{h}
\]

Now we solve for \( h \):

\[
h = \frac{5 \times 38.5}{7}
\]

\[
h = \frac{192.5}{7} = 27.5
\]

So, the height of the enlarged photograph is **27.5 inches**.

Would you like further details or have any questions?

Here are 5 questions to expand the concept:
1. What would be the height if the original photograph was 6 inches high instead of 5?
2. How would the height change if the canvas width was doubled?
3. If the photograph was not enlarged proportionally, how would we solve the problem?
4. Can we find the scale factor from the original to the enlarged dimensions?
5. What is the new area of the enlarged photograph?

**Tip:** When enlarging or shrinking images, maintaining the aspect ratio ensures that the image doesn’t get distorted.

A photograph that is 5 inches high and 7 inches wide is being enlarged on a canvas. If the canvas is 38.5 inches wide, what is its height?

Learn how to enlarge a photograph proportionally using ratios and proportions. This example involves finding the height of a photograph when it is enlarged from 5 inches high and 7 inches wide to a canvas that is 38.5 inches wide. Explore key mathematical concepts like scaling and proportionality. Suitable for 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