Two sides of quadrilateral have the same length, x , while the other two sides have the same length, both being the next consecutive odd integers. Write the sum of these length.

Answer 1

Perimeter = sum of lengths = 2(L+W) = 2(x + x+2) = 2(2x+2) = 4x+4

Perimeter = P = 4x+4

which is an even number, regardless whether x is odd or even

Area =A <LW = x(x+2) = x^2 +2x

0<A < x^2 + 2x