Question

A path of 1.5 metres wide runs around outside a rectangular plot of length 15m and width 10m find the area of the path​

Answer 1

Question :-

• A path of 1.5 metres wide runs around outside a rectangular plot of length 15m and width 10m find the area of the path.

Given :-

Dimensions of Outer Rectangle

• Length = 15m
• Breadth = 10m
• Thickness of path = 1.5m

To Find :-

• What is the Area of Path ?

Solution :-

★ Dimensions of Inner Rectangle ★

• Length = 15 - 1.5 = 13.5m
• Breadth = 10 - 1.5 = 8.5m

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★ Area of Outer Rectangle ★

⇛Area of Rectangle = Length × Breadth

⇛Area of Rectangle = 15 × 10

⇛Area of Outer Rectangle = 150m²

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★ Area of Inner Rectangle ★

⇛Area of Rectangle = Length × Breadth

⇛Area of Rectangle = 13.5 × 8.5

⇛Area of Inner Rectangle = 114.75m²

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★ Area of Path ★

⇛ Area of Path = Area of Outer Rectangle - Area of Inner Rectangle

⇛ Area of Path = 150 - 114.75

⇛ Area of Path = 35.25m²

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∴ Area of Path = 35.25m²

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More For Knowledge :-

• 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

The area of path is 84 sq.m.

Step-by-step explanation:

Length of rectangular plot = 15 m

Breadth of rectangular plot = 10 m

Area of plot =

Width of path = 1.5 m

Outer length = 15+(1.5+1.5)=18 m

Inner length = 10+(1.5+1.5)=13 m

Area of path = Outer area - Inner area

Area of path  

Hence  the area of path is 84 sq.m.

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