Question

Sanket purchased a rectangular plot having area 200 m². Length of the plot was 10 m more than its breadth. Find the length and the breadth of the plot. ​

Answer 1

$\huge\underline\frak{\fbox{AnSwEr :-}}$

Let the breadth of the plot be x metre.

$\implies$ Length = (x + 10) metre

Area of rectangle = length x breadth

$\implies$ 200 = (x + 10) x x

$\implies$ 200 = x² + 10x

That is x² + 10x = 200

$\implies$ x² + 10x - 200 = 0

$\therefore$ Now,

solving equation x² + 10x - 200 = 0, we will decide the dimensions of the plot.

Answer 2

Answer:

Length  = 20 metres and Breadth = 10 metres

Explanation:

Let the breadth of the plot be x metres.

So, length of the plot = (x+10) metres

According to the question, we have

x(x+10)=200

=>$x^{2}$+10x=200

=>$x^{2}$+10x-200=0

=>$x^{2}$+20x-10x-200=0

=>x(x+20)-10(x+20)=0

=>(x+20)(x-10)=0

So, x =10 metres [Since, length cannot be negative]

So, length of the plot = (10+10) metres

                                   = 20 metres

Hope it helps.......

Mark my answer as the brainliest.