Area of the plane is define as the amount of stuff required to cover the plane. The area of the Tyler's design which is square garden will give the maximum area of the garden.
Tyler and Bethany have 240 feet of fencing.
Tyler wants the square garden.
The Bethany wants rectangular garden with length of 50 feet and width of 70 feet.
Area of the plane is define as the amount of stuff required to cover the plane
To find out the area the length of the side has to known. The perimeter of the garden is 240 feet. As the side of the square is 4 times the perimeter of the square. Let [tex]a[/tex] is the side of the square thus,
[tex]a=\dfrac{240}{4}\\ a=60[/tex]
Thus the side of the square is 60 feet. The area of the square is the square of the side. Thus,
[tex]A=a^2\\ A=60^2\\ A=3600[/tex]
Thus the area of the square garden is 3600 squared feet.
As Bethany wants rectangular garden with length of 50 feet and width of 70 feet. The area of the rectangle is the product of the length and width. Thus,
[tex]A=l\times w\\ A=70\times50\\ A=3500[/tex]
Thus the area of the rectangular garden is 3500 squared feet.
Hence the area of the Tyler's design which is square garden will give the maximum area of the garden.
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