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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?

User Duwalanise
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2 Answers

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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
User Giwan
by
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1 vote

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

User Coen Damen
by
7.8k points

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