write a ratio comparing widths, lengths, and the perimeter of a rectangle 6 inches by 9 inches and a rectangle 8 inches by 12 inches. Show whether these are are equivalent or not.

Answer 1

Rectangle1: W1 = 6in, L1 = 9in.
P1 = 2W1 + 2L1 = 12 + 18 = 30 in.

Retangle2: W2 = 8in, L2 = 12in.
P2 = 2W + 2L2 = 16 + 24 = 40 in.

W1:W2 = 6:8 = 3:4
L1:L2 = 9:12 = 3:4
P1:P2 = 30:40 = 3:4.

All of the ratios are equal. Therefore,
the rectangles are similar.