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?

Question

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?

Answer 1

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

Answer 2

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)

 

 

Answer 3

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.