write an expression in simplest radical form for the area of a square whose perimeter is (9√2 +4)cm.

Question

plz help for my math hw

Answer 1

side = (1/4)[9sqrt(2)+4] = (9/4)sqrt(2) + 1

area = side squared = (81/16)*2 + (9/2)sqrt(2) + 1 = (89/8)+(9/2)sqrt(2)

You could, of course, take out a common factor, but that is not necessarily simpler.