SOLUTION: A square has a perimeter of 64 feet and an area of 256 square feet. If the side length of the square is divided by 2, find the area and perimeter of the new square.

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Question 946540: A square has a perimeter of 64 feet and an area of 256 square feet. If the side length of the square is divided by 2, find the area and perimeter of the new square.
Answer by MathLover1(20849) About Me  (Show Source):
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A square has a perimeter of P=64ft and an area of A=256ft%5E2.
P=4a
4a=64ft
a=64ft%2F4
a=16ft
if the side length of the square is divided by 2, then we have
%28a%2F2%29=16ft%2F2
a%2F2=8ft then the area and perimeter of the new square will be:
P=4%28a%29 will be 1%2F2 of P=64ft:
P=4%2A8ft=>P=32ft which is %281%2F2%2964ft

A=256ft%5E2
a%2F2=8ft then A=%28a%2F2%29%5E2=%281%2F4%29a%5E2=> will be 1%2F4 of A=256ft%5E2:
A=%28a%2F2%29%5E2 will be A=%288ft%29%5E2=>A=64ft%5E2 and 64ft%5E2=%281%2F4%29256ft%5E2