The area of a square is determined by the function fss2where

The area of a square is determined by the function f(s)=s^2where ss is the varying side length of the square. The perimeter of a square is determined by the function g(s)=4s where s is the varying side length of the square.

a) Suppose the area of the square is 14.814.8 square inches.

i) What is the side length of the square?

ii) What is the perimeter of the square?

b) Define a function hh that determines the side length of the square, s, (measured in inches) in terms of the area of the square, A, (measured in square inches). (Note: s0s0.)

c) Define a function k that determines the perimeter of a square (in inches) in terms of the area of the square, A, in square inches.

Solution

a) f(s)=s^2

area of the square is 14.8

s²=14.8

s=3.847 in

i) side length of the square s=3.847 in

ii) perimeter of the square=4s

perimeter of the square=4*3.847

perimeter of the square=15.3883

b)area A=s²

s=A

functionh(A)=A

c)perimeter of a square=4s

perimeter of a square=4A

function k(A)=4A