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?

## 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?

Tutors, please sign in to answer this question.

# 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.