Question

H D 2 cm 4 cm The two rectangles below are similar. What is the ratio of the perimeters of rectangle ABCD to rectangle EFGH? B А 4 cm E 8 cm F 2:1 8:1 1:4 1:2 2

Answer 1

In order to determine the ratio of the perimeters for the given rectangles, first calcualte their perimeters. Use the following formula:

P = 2w + 2l

w: width

l: length

For the smaller rectangle you have:

w = 2cm

l = 4 cm

P = 2(2cm) + 2(4cm) = 4cm + 8cm = 12cm

For the bigger triangle you have:

w' = 4cm

l' = 8cm

P' = 2(4cm) + 2(8cm) = 8cm + 16cm = 24cm

Then, you have:

P/P' = 12cm/24cm = 1/2

Hence, the ratio is 1:2