the perimeter of a rectangular plot of land is 80m. if the lenght of the plot is decreased by 2 m and its breath is increased by 2m the area is increased by 36m2. find the lenght and breath of the plot of land
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length is 30m and breadth is 10m just see the below pic.
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No Let the length be x and breadth be y
Perimeter =80m
2(x+y)=80m
x+y=80/2=40
x=40-y
Area=x*y
If length decreased by 2
Breadth decreased by 2
(40-y-2) (y+2)=(40-y)y+36
(38-y)(y+2)=40y-y*y+36
38y+76-y*y-2y=40y-y*y-2y+36
36y+y*y+76=40y-y*y+36
40y-36y=76-36
4y=40
Y=10
X=40-y
x=30
Length =30m
Breadth =10m
Thanks Mark as branliest plzz
Perimeter =80m
2(x+y)=80m
x+y=80/2=40
x=40-y
Area=x*y
If length decreased by 2
Breadth decreased by 2
(40-y-2) (y+2)=(40-y)y+36
(38-y)(y+2)=40y-y*y+36
38y+76-y*y-2y=40y-y*y-2y+36
36y+y*y+76=40y-y*y+36
40y-36y=76-36
4y=40
Y=10
X=40-y
x=30
Length =30m
Breadth =10m
Thanks Mark as branliest plzz
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