Question

Represent the following situations in the form of quadratic equations :
(1) 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.​

Answer 1

Answer:

1. 2x+1×x=528 is the required answer

Answer 2

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→ Area of rectangular plot = 528 m²

→ Let length of plot = x

→ Let breadth of plot = y

ATQ - 1

→ x = 2y + 1 ––––––––––––—–— ( 1 )

ATQ - 2

→ x • y = 528 m²

→ ( 2y + 1 ) y = 528 m²

→ 2y² + y = 528 m²

→ 2y² + y - 528 = 0

→ 2y² + 33y - 32y - 528 = 0

→ y ( 2y + 33 ) -16 ( 2y + 33 ) = 0

→ ( y - 16 ) ( 2y + 33 ) = 0

So,

→ y = 16

and

→ $y = -\frac{33}{2}$

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Length and breadth cannot be negative

So , y = 16 m

Put y in eqñ ( 1 )

→ x = ( 2 × 16 ) + 1

→ x = 32 + 1

→ x = 33 m

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→$\huge{\blue{Length\:of\:plot=33\:m}}}$

→$\huge{\green{Breadth\:of\:plot=16\:m}}}$

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