Question

The area of a square Park is the same as of a rectangular Park. If the side of the square park is 60 m and the length of the rectangular Park is 90 m, find the Breadth of the Rectangular Park. Also find the area of square park and rectangular Park.​

Answer 1

ANSWER:

• The breadth of the rectangular park = 40 m.

• The area of square park = 3600 m³.

• The area of rectangular park = 3600 m³.

GIVEN:

• The area of a square park is the same as of a rectangular park.

• The side of the square park is 60 m.

• The length of the rectangular park is 90 m.

TO FIND:

• The breadth of the rectangular park.

• The area of square park.

• The area of rectangular park.

EXPLANATION:

★ AREA OF SQUARE = (side)² sq.units.

★ AREA OF RECTANGLE = L × B sq.units.

The breadth of the rectangular park:

•°• a² = L × B

•°• 60 × 60 = 90 × B

•°• 60 × 6 = 9 × B

•°• 20 × 2 = B

•°• B = 40 m.

Area of square park and rectangular park:

°•° a² = 60 × 60 (or) L × B = 90 × 40

°•° a² = 3600 m³ (or) L × B = 3600 m³.

Answer 2

Given that , The area of a square Park is the same as of a rectangular Park & the side of the square park is 60 m and the length of the rectangular Park is 90 m .

Need To Find : The Breadth of Rectangular Park & the area of square park and rectangular Park.

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⠀⠀⠀⠀⠀⠀⠀⠀¤ Finding Breadth of Rectangular Park :

⠀⠀⠀⠀⠀☆ Area of Rectangle = Length × Breadth sq.units

⠀⠀⠀⠀⠀☆ Area of Square = ( Side )² sq.units

Given that, The area of a square Park is the same as of a rectangular Park & side of the square park is 60 m & length of the rectangular Park is 90 m

⠀⠀⠀⠀➯ Area of Square Park = Area of Rectangular park

⠀⠀⠀⠀➯ ( Side)² = Length × Breadth

⠀⠀⠀⠀➯ ( Side)² = Length × Breadth

⠀⠀⠀⠀➯ ( 60 )² = 90 × Breadth

⠀⠀⠀⠀➯ 60 × 60 = 90 × Breadth

⠀⠀⠀⠀➯ 3600 = 90 × Breadth

⠀⠀⠀⠀➯ 360 = 9 × Breadth

⠀⠀⠀⠀➯ Breadth = 360/9

⠀⠀⠀⠀➯ Breadth = 40 m ☆

• Breadth of Rectangular Park is 40 m

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⠀⠀⠀⠀⠀⠀⠀⠀¤ Finding Area of Rectangular Park :

⠀⠀⠀⠀⠀☆ Area of Rectangle = Length × Breadth sq.units

⠀⠀⠀⠀➯ Area of Rectangular park = Length × Breadth

⠀⠀⠀⠀➯ Area of Rectangular park = 90 × 40

⠀⠀⠀⠀➯ Area of Rectangular park = 3600 m² ☆

• The Area of Rectangular park is 3600 m²

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⠀⠀⠀⠀⠀⠀⠀⠀¤ Finding Area of Square Park :

⠀⠀⠀⠀⠀☆ Area of Square = ( Side )² sq.units

⠀⠀⠀⠀➯ Area of Square Park = ( Side)²

⠀⠀⠀⠀➯ Area of Square Park = ( 60)²

⠀⠀⠀⠀➯ Area of Square Park = 60 × 60

⠀⠀⠀⠀➯ Area of Square Park = 3600 m² ☆

• The Area of Square park is 3600 m² .

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