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The width of a house must be 48 feet, but the length (l) can change.what happens to the perimeter (P) of the house when the length changes?

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3 Answers

The perimeter of the house is always P=2×48+2×length.  We start with length = l
If l changes from l to l+Δl then  the perimeter changes from P to P+2Δl
Feel free to make Δl positive or negative or even zero
Hi Theresa;
Perimeter=(twice length)+(twice width)
In the house enlarges...
Perimeter change=(twice new length)-(48 feet)
If the house shrinks...
Perimeter change=(48 feet)-(twice new length)
 
 
Depends. If you increase length from the original length, the perimeter will increase. If you decrease length from the original length, the perimeter will decrease.