Question

The length and breadth of a rectangular park are in the ratio of 9:5 if it's perimeter is 280m find the area of park

Answer 1

Answer :

The area of the rectangular park is 450 m².

Step-by-step explanation :

Let the length and breadth of the rectangular park be 9x and 5x.

According to the question ;

Perimeter of rectangular park = 280 m

⇒ 2 ( l + b ) = 280

⇒ 2 ( 9x + 5x ) = 280

⇒ 14 x = 280 / 2

⇒ 14 x = 140

⇒ x = 140 / 14

⇒ x = 10

Now, length and breadth of the rectangular park ;

9x = 9 × 10 = 90 m

5x = 5 × 10 = 50 m

Now, Area of rectangle = length × breadth

⇒ Area = ( 90 × 50 ) m

⇒ Area = 450 m²

Hence, the area of the rectangular park is 450 m².

Answer 2

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▶ Given :


i) The length and breadth of a rectangular park are in the ratio of 9:5


ii) Perimeter of the rectangle is 280 m


▶ Let :


i) Length of the rectangular park = 9x


ii) Breadth of the rectangular park = 5x


▶ According to the Question :


Perimeter of the rectangle = 2 ( Length + Breadth )


=> 280 = 2 ( 9x + 5x )


=> 280 / 2 = 9x + 5x


=> 140 = 14x


=> x = 140 / 14


=> x = 10


•°• Length of the rectangle = 9 × 10 = 90 m


•°• Breadth of the rectangle = 5 × 10 = 50 m


Area of the rectangular park = Length × Breadth


Area of the rectangular park = 90 m × 50 m


•°• Area of the rectangular park = 450 m^2


✔✔ Hence, it is solved ✅✅


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