Question

length of football court is 30m more than that of its breadth if its area is 1080m square then represent this situation in the form of quadratic equation​

Answer 1

Given:-

• Length of football court is 30m more than that of its breadth if its area is 1080m².

To Do:-

• Form of quadratic equation on this situation.

Formula Used:-

• ${\boxed{\bf{Area\:of\: Rectangle=L\times B}}}$

Solution:-

Let the breadth of the court be x.

According to question,

• L = 30 + x

Using Formula,

$\sf :\implies\:Area\:of\: Rectangle=L\times B$

$\sf :\implies\:1080=(30+x)x$

$\sf :\implies\:x^2+30x-1080=0$

$\sf :\implies\:x^2+30x-1080=0$

Hence, The quadratic equation on this situation is x² + 30x - 1080.

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