Question

a rectangular grassy plot is 116m by 68m.it has a gravel path 2.5m around it.find the area of inner rectangle​

Answer 1

Question :-

• A rectangular grassy plot is 116m by 68m.it has a gravel path 2.5m around it . Find the area of inner rectangle.

Given :-

Dimensions of the Outer Rectangle

• Length = 116m
• Breadth = 68m
• Distance between the 2 rectangle ( Thickness) = 2.5m

To Find :-

• The Area of the Inner Rectangle .

Solution :-

★ Dimensions of Inner Rectangle ★

• Length = 116 - 2.5 = 113.5m
• Breadth = 68 - 2.5 = 65.5m

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★ Area of Inner Rectangle ★

⇛ Area of Rectangle = Length × Breadth

⇛ Area of Rectangle = 113.5 × 65.5

⇛ Area of Rectangle = 7434.25m²

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∴ The Area of Inner Rectangle is 7434.25m²

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Additional Info :-

• Area of Square = Side x Side
• Area of Rectangle = Length × Breadth
• Area of Triangle = ½ × base x height
• Area of parallelogram = base x height
• Area of circle = πr²
• Area of Rhombus = ½ × product of its diagonals
• Area of Trapezium = ½ × height × sum of parallel sides
• Area of Polygon = sum of the area of all regions into which it is divided

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Answer 2

Step-by-step explanation:

Dimensions of the Outer Rectangle

Length = 116m

Breadth = 68m

Distance between the 2 rectangle ( Thickness) = 2.5m

\begin{gathered} \\ \\ \end{gathered}

To Find :-

The Area of the Inner Rectangle .

\begin{gathered} \\ \\ \end{gathered}

Solution :-

★ Dimensions of Inner Rectangle ★

Length = 116 - 2.5 = 113.5m

Breadth = 68 - 2.5 = 65.5m

━━━━━━━━━━━

★ Area of Inner Rectangle ★

⇛ Area of Rectangle = Length × Breadth

⇛ Area of Rectangle = 113.5 × 65.5

⇛ Area of Rectangle = 7434.25m²

━━━━━━━━━━━

∴ The Area of Inner Rectangle is 7434.25m²

━━━━━━━━━━━

Additional Info :-

Area of Square = Side x Side

Area of Rectangle = Length × Breadth

Area of Triangle = ½ × base x height

Area of parallelogram = base x height

Area of circle = πr²

Area of Rhombus = ½ × product of its diagonals

Area of Trapezium = ½ × height × sum of parallel sides

Area of Polygon = sum of the area of all regions into which it is divided