# Length of a rectangular park is 40 metres more than its breadth. Area of the park is 2304 square metres.

2
by Deleted account

2016-03-31T20:18:48+05:30

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Let the breadth of the rectangular park = x metres

Therefore, length of the rectangular park = (x+ 40) metres.

So, area of the rectangular park = (x + 40) ∙ x square metres

According to the problem we get,

(x + 40) ∙ x = 2304

or, x^2 + 40x = 2304

or, x2  + 40x - 2304 = 0 .................... (i)

OR,

Let the length of the rectangular park = x metres

Therefore, the breadth of the rectangular park =(x - 40) metres

Area of the rectangular park = x(x - 40) square metres

According to the problem we get,

x(x - 40) = 2304

or,x2  - 40x - 2304 = 0 ....................  (ii)

Both of (i) and (ii) are quadratic equations.

2016-03-31T20:27:57+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

Let the breadth of the rectangular park be 'x' mts.

length of the rectangular park = (x+ 40) mts.

area of the rectangular park = length x breadth

= (x + 40) ∙ x m²

According to the problem,

(x + 40) ∙ x = 2304

⇒ x² + 40x = 2304

⇒x²  + 40x - 2304 = 0

(OR)

Let the length of the rectangular park be 'x' mts.

The breadth of the rectangular park =(x - 40) mts

Area of the rectangular park = x(x - 40) m²

According to the problem,

x(x - 40) = 2304

x²  - 40x - 2304 = 0.

Hope it helps ^_^