Answer:
Length = 3 7/8cm
Width = 2 3/4 cm
Step-by-step explanation
Let the length of the rectangle by L
Let the width be W
If the length of a rectangle is 1 1/8 cm longer than the width, then;
L = W + 1 1/8
L = W +9/8
perimeter of the rectangle = 2(L+W)
perimeter of the rectangle = 2(W + 9/8 + W)
13 1/4 = 2(2W + 9/8)
53/4 = 4W + 9/4
4W = 53/4 - 9/4
4W = 44/4
4W = 11
W = 11/4
Hence the width of the rectangle is 11/4 or 2 3/4 cm
Recall that L = W + 9/8
L = 11/4 + 9/8
L = (2(11) + 9)/8
L = 31/8
L = 3 7/8cm
hence the length is 3 7/8 cm
