Question 254632: Please help me solve this and can you show me how you did it? To rectangles are similar. The ratio of their corresponding sides is 1:4. Find the ratio of there perimeters and their areas
Found 3 solutions by richwmiller, drk, solver91311:
Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website! If their ratio is 1:4 that means every thing on one is 4 times the size of the other
so one will have the p=2L+2W and A=L*W
the other will be p=2(4L) +2*(4W) and A=4L*4W
p=8L +8W so the ratio of perimeter will be 2:8=1:4
A=16*L*W will be 1:16 or 1:4^2
Answer by drk(1908)  (Show Source):
You can put this solution on YOUR website! We start with ratio of corresponding sides as 1:4.
Sides, lengths, widths, and perimeters are all called 1 dimensional.
area, surface area, lateral area are all called 2 dimensional.
Volumes are called 3 dimensional
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To go from a 1 dimensional ratio to a 1 dimensional ratio, just use the same fraction.
To go from a 1 dimensional ratio to a 2 dimensional ratio, square the 1 dimensional fraction.
To go from a 1 dimensional ratio to a 3 dimensional ratio, cube the 1 dimensional fraction
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we want the ratio of perimeter, so 1:4 = 1:4.
We want the area ratio, so 1:4 - -> (1:4)^2 = 1:16.
Answer by solver91311(24713)  (Show Source):
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