Part a) Find the area of the square
we know that
the area of the square is equal to
[tex] A=b^{2} [/tex]
where
b is the length side of the square
In this problem
[tex] b= 3.5\ m [/tex]
so
[tex] A =3.5^{2} = 12.25\ m^{2} [/tex]
therefore
the answer Part a) is
The area of the square is [tex] 12.25\ m^{2} [/tex]
Part b) Find the area of the circle
we know that
the area of the circle is equal to
[tex] A=\pi r^{2} [/tex]
where
r is the radius of the circle
in this problem
[tex] r= 2\ m [/tex] -----> divide diameter by [tex] 2 [/tex]
[tex] A =\pi * 2^{2} \\ A= 12.57\ m^{2} [/tex]
therefore
the answer Part b) is
The area of the circle is [tex] 12.57\ m^{2} [/tex]
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=[tex] 12.25\ m^{2} [/tex]
Area of the circle=[tex] 12.57\ m^{2} [/tex]
so
[tex] 12.57 > 12.25 [/tex]
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
