Answered

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

AFind 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?

Verified Answer :

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

calculista

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

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