<｜begin▁of▁sentence｜>### Instruction:
As an electrician, you may encounter situations where you need to visualize and work with physical spaces, such as rooms or building layouts, to ensure efficient electrical installations. In this scenario, imagine you have a blueprint of a building that you're inspecting for potential electrical upgrades. You want to use a tool like the 'Rectangle' class from the igraph drawing utilities to represent and manipulate the dimensions of rooms.

Your task is to use the 'Rectangle' class to model the dimensions of individual rooms, expand them to accommodate additional features or renovations, and identify any overlapping areas between rooms. This involves finding the intersection between two rectangles and determining if there's a shared space where electrical work may need to be coordinated.

Now, how would you utilize the 'Rectangle' class to achieve these tasks efficiently and accurately within your electrical inspection process?
### Response:
from igraph.drawing import Rectangle

# Create a new rectangle with width 100 and height 50
rect1 = Rectangle(100, 50)

# Create another rectangle with upper left corner at (10, 20) and bottom right corner at (110, 70)
rect2 = Rectangle(coords=(10, 20, 110, 70))

# Expand rect1 to include rect2
rect1 |= rect2

# Calculate the intersection of rect1 and rect2
intersection = rect1.intersection(rect2)

# Check if intersection is not an empty rectangle
if not intersection.isempty():
    print('Rectangles intersect with area:', intersection.width * intersection.height)
else:
    print('Rectangles do not intersect')
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