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Question

Question 2(i)
Represent the following situations in the form of quadratic equations.
(i) The area of a rectangular plot is 528 m2. The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot.

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Solution

(i) Let the breadth of the rectangular plot = x m
Hence, the length of the plot is (2x+1) m.
Formula of area of rectangle = length×breadth=528 m2
Putting the value of length and width, we get
(2x+1)×x=528
2x2+x=528
2x2+x528=0
2x232x+33x528=0
2x(x16)+33(x16)=0
(2x+33)(x16)=0
Either 2x+33=0 or x16=0
x=332 or x=16
As the length and breadth cannot be in negative values,
x=16, breadth = 16 m
Length = 2×16+1
= 33 m

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