Asked by Jade
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 :)
Answers
Answered by
Henry
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
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
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