Lesson 11
Stained-Glass Windows
Let’s use circumference and area to design stained-glass windows.
11.1: Cost of a Stained-Glass Window
The students in art class are designing a stained-glass window to hang in the school entryway. The window will be 3 feet tall and 4 feet wide. Here is their design.
![A stained glass window composed of six rectangular panels of equal size.](https://cms-im.s3.amazonaws.com/cznYYDodQ86xppuCXTDxfb88?response-content-disposition=inline%3B%20filename%3D%227-7.3.C2.Image.01.png%22%3B%20filename%2A%3DUTF-8%27%277-7.3.C2.Image.01.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T142018Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=f016d6e5aa0ee82b79babc070d815eb91481c1b01fb89beb26e610ab3712190c)
They have raised $100 for the project. The colored glass costs $5 per square foot and the clear glass costs $2 per square foot. The material they need to join the pieces of glass together costs 10 cents per foot and the frame around the window costs $4 per foot.
11.2: A Bigger Window
A local community member sees the school’s stained-glass window and really likes the design. They ask the students to create a larger copy of the window using a scale factor of 3. Would $450 be enough to buy the materials for the larger window? Explain or show your reasoning.
11.3: Invent Your Own Design
Draw a stained-glass window design that could be made for less than $450. Show your thinking. Organize your work so it can be followed by others.