Asked by kim

a rectangle is 7 ft by 9ft. a second is similar to the first with a perimeter of 260 ft. what are the dimensions of the second rectangle?
Answered by Reiny
if the new one is similar to the old one, then it must be
7x by 9x
and its perimeter would be 2(7x+9x) or 32x

so 32x = 260
x = 8.125

so the new one is 7(8.125) by 9(8.125)
or
56.875 by 73.125

check : 73.125/56.875 = 73125/56875 = 2925/2275 = 9/7 --- ratio works

perimeter = 2(56.875) + 2(73.125) = 260 --- checks!
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