The length and breadth of the plot are 33 cm and 16 cm, respectively
Represent the length with x and the breadth with y.
So, we have:
x = 1 + 2y
The area of a rectangular plot is:
Area = xy
The area is given as 528.
So, we have:
[tex]xy = 528[/tex]
Substitute 1 + 2y for x
[tex](1 +2y)y = 528[/tex]
Open the brackets
[tex]y + 2y^2 = 528[/tex]
Rewrite as:
[tex]2y^2 + y - 528 = 0[/tex]
Using a graphing calculator, we have:
y =-16.5 and y = 16
The dimension cannot be negative.
So, we have:
y = 16
Recall that:
x = 1 + 2y
This gives
[tex]x = 1 + 2*16[/tex]
[tex]x = 33[/tex]
Hence, the length and breadth of the plot are 33 cm and 16 cm, respectively
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