Question 660525: The widths of two similar rectangles are 25 ft. and 20 ft. What is the ratio of the perimeters? Of the ares? Answer by htmentor(1343) (Show Source):
You can put this solution on YOUR website! Corresponding sides of similar rectangles have the same ratio. The ratio of the widths = 20/25 = 4/5
This means that the ratio of the lengths is also 4/5.
Let x = the longer length
Then the shorter length = (4/5)x
The perimeters of the two rectangles are P1 = 2*20 + 2*(4/5)x and P2 = 2*25 + 2x
P1 = 4(10 + (2/5)x)
P2 = 5(10 + (2/5)x)
The ratio P1/P2 = 4/5
The areas are A1 = 20*(4/5)x and A2 = 25x
The ratio A1/A2 = 16x/25x = (4/5)^2 = 0.64
