SOLUTION: The length of a rectangle is increased by 1 unit. Its width is decreased by 1 unit. What happens to the area and the perimeter? Use an example in your explanation.

Algebra ->  Rectangles -> SOLUTION: The length of a rectangle is increased by 1 unit. Its width is decreased by 1 unit. What happens to the area and the perimeter? Use an example in your explanation.      Log On


   

Question 1003068: The length of a rectangle is increased by 1 unit. Its width is decreased by 1 unit. What happens to the area and the perimeter? Use an example in your explanation.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Original dimensions w and L for width and length.
Area A=wL
Perimeter p=2w+2L

New rectangle is of dimensions L+1 and w-1.
Area (L+1)(w-1)
wL+w-L-1
Or you could refer to A from the original rectangle and say new area is A+w-L-1.

New perimeter 2(w-1)+2(L+1)
2w-2+2L+2
2w+2L
This is the same perimeter as the original perimeter.