math
posted by Jade on .
The width of a rectangle is 6 cm less than the length. A second rectangle, with a perimeter of 54 cm, is 3 cm wider and 2 cm shorter than the first. What are the dimensions of each rectangle. Please give complete answer :)

1ST Rectangle
Length = x cm
Width = (x  6) cm
2nd Rectangle
Perimeter = 54 cm
Width = (x  6) + 3 = (x  3) cm
Length = (x  2) cm
P = 2W + 2L
P = 2(X  3) + 2(X  2)
54 = 2x  6 + 2x  4
x = 16 cm
Width = x  3 = 16  3 = 13 cm
Length = x  2 = 16  2 = 14 cm
1st Rectangle
Width = x  6 = 16  6 = 10 cm
Length = x = 16 cm