Question

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?

Answer 1

a)=14 meters because 3.5 times 4 is 14
b)=4 meters because circles don't have any sides
c)=a would give her more space to plant because 14 is bigger than 4

Answer 2

Part a) Find the area of the square

we know that

the area of the square is equal to

`A=b^(2)`

where

b is the length side of the square

In this problem

`b= 3.5\ m`

so

`A =3.5^(2) = 12.25\ m^(2)`

therefore

the answer Part a) is

The area of the square is
`12.25\ m^(2)`

Part b) Find the area of the circle

we know that

the area of the circle is equal to

`A=\pi r^(2)`

where

r is the radius of the circle

in this problem

`r= 2\ m` -----> divide diameter by
`2`

`A =\pi * 2^(2) \\ A= 12.57\ m^(2)`

therefore

the answer Part b) is

The area of the circle is
`12.57\ m^(2)`

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=
`12.25\ m^(2)`

Area of the circle=
`12.57\ m^(2)`

so

`12.57 > 12.25`

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