The area of a shape is the amount of space it can occupy.
- <em>The same hallway be painted with the same pattern, but using twice as much black paint as white paint</em>
- <em>The length of the hallway is 40 feet</em>
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From the complete question (see attachment), the length of the white area is:
The width is:
So, the area of the white segment is:
The length of the black area is:
The width is:
So, the area of the black segment is:
So, their areas are:
--- white area
--- black area
<u>The paints</u>
The equation is given as:
Substitute the areas
Collect like terms
Divide both sides by 36
Because x has a positive real value, then the <em>same hallway be painted with the same pattern, but using twice as much black paint as white paint</em>
<u>Length of the hallway</u>
To calculate the length of the hallway, we simply equate both areas;
Collect like terms
Divide both sides by 6
So, the length of the hallway is the sum of the following lengths:
So, we have:
Substitute 4 for x
So, the length of the hallway is 40 feet
Read more about areas at
brainly.com/question/5688437