16 Jul '13 21:13>
talzamir posted:
A rectangle 2" long by 4" wide has an area of 8 square inches and a perimeter length of 12". Find three other polygons with the same area and perimeter length.
I wonder if there is an answer if the area is a triangle?
from Heron's formula
perimeter of triangle = a+b+c (where a,b,c) are sides
let s = p/2
then area = sqrt(s(s-a)(s-b)(s-c))
which looks like we might be able to find a solution to b and c for any reasonable value of A we pick....
A rectangle 2" long by 4" wide has an area of 8 square inches and a perimeter length of 12". Find three other polygons with the same area and perimeter length.
I wonder if there is an answer if the area is a triangle?
from Heron's formula
perimeter of triangle = a+b+c (where a,b,c) are sides
let s = p/2
then area = sqrt(s(s-a)(s-b)(s-c))
which looks like we might be able to find a solution to b and c for any reasonable value of A we pick....