Your sister is considering two different shapes for her garden. one is a square with side lengths of 3.5 meters and the other is a circle with a diameter of 4 meters
a) find the area of the square.
b)find the area of the circle.
c)compare your answers from parts ( a ) and ( b ). wich garden would give your sister the most space to plant?

Part a) Find the area of the square

we know that

the area of the square is equal to

where

b is the length side of the square

In this problem

so

therefore

the answer Part a) is

The area of the square is

Part b) Find the area of the circle

we know that

the area of the circle is equal to

where

r is the radius of the circle

in this problem

-----> divide diameter by

therefore

the answer Part b) is

The area of the circle is

Part c) Compare your answers from parts ( a ) and ( b ). Wich garden would give your sister the most space to plant?

we know that

Area of the square=

Area of the circle=

so

Area of circle > Area of square

therefore

the answer part c) is

The most space to plant is the garden with shape of a circle

30005

yes ok                                            

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)