I'm having difficulty figuring out how to express the function.
Fencing 240 metres long is used to enclose three sides of a rectangular backyard, let l(m) be the length of the yard and A(m^2) be the area. Express A as a function of l.
Fencing 240 metres long is used to enclose three sides of a rectangular backyard, let l(m) be the length of the yard and A(m^2) be the area. Express A as a function of l.
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240 is your perimeter.
But only 3 sides are to be fenced ( i will assume that the other side without a fence is one of the longer sides, the length)
So, your width is (240-m)/2
Area= length*width
Length=m
Width = (240-m)/2
A(m)=m* ((240-m)/2)
A(m)= (240m-m^2) / 2 --------------------> Function
But only 3 sides are to be fenced ( i will assume that the other side without a fence is one of the longer sides, the length)
So, your width is (240-m)/2
Area= length*width
Length=m
Width = (240-m)/2
A(m)=m* ((240-m)/2)
A(m)= (240m-m^2) / 2 --------------------> Function
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2b+l=240 so b=(240-l)/2 , A=l*b= l*(240-l)/2= 120l-l^2/2