A 300 m long wire is used to fence a
rectangular plot whose length is twice its
width. Find the length and breadth of the
plot.
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Answer:
length=100m and width= 50m
Step-by-step explanation:
let the width of the plot be x,
thus ,as the length is twice the width ,
length=2×width=2×( x)
hence length=2x
now fencing a plot basically means to cover the perimeter of the plot with wire
and the formula for perimeter=2(l+b)
hence here 2(l+b)= 2(2x+x). { since length=2x and width=x as per assumption}
:. 2(2x+x)= 300( perimeter as given in the question)
:. 2(3x)= 300
:.6x= 300
:. x= 300\6
:.x = 50 m
hence the width of the plot is 50m , now length = 2× width
:. length = 2× 50
:. length= 100m
thus. [length = 100 m] and [width =50m]. {Answer}
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