Question

A garden is 90m long and 75m broad. A path 5m wide is to be built outside and around it. Find the area

Answer 1

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Question

• A garden is 90m long and 75m broad. A path 5m wide is to be built outside and around it. Find the area?

Answer

• Area of path = 1750m²

Given

• Length of garden = 90m
• Breadth = 75m
• A path 5m wide is to be built outside

To Calculate

• Area __?

Explanation

Length (l) = 90m

Breadth (b) = 75m

Area of original garden = length ×breadth

➥ 90×75

➥ 6750m²

After path is added around rectangle

New length = 90+2×5

➥ 100m

New Breadth = 75+2×5

➥ 85m

Area of rectangle with path = length × breadth

➥ 100×85

➥ 8500m²

So,

Area of path = Area of rectangle witb path - Area of rectangle without path

Area of path = 8500-6750

➥ 1750m²

$\bf\underline{\underline{\orange{HENCE:-}}}$

• Area of path = 1750m²

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Answer 2

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Area of path = 1750m²

Given:-

• Length of garden = 90m

• Breadth = 75m

• A path 5m wide is to be built outside

To Find:-

• Area of the path?

Solution:-

• Length (l) = 90m
• Breadth (b) = 75m

Area of original garden = length ×breadth

➥ 90×75

➥ 6750m²

After path is added around rectangle

After path is added around rectangleNew length = 90+2×5

➥ 100m

New Breadth = 75+2×5

➥ 85m

Area of rectangle with path = length × breadth

➥ 100×85

➥ 8500m²

Sothat

• Area of path = Area of rectangle witb path - Area of rectangle without path

• Area of path = 8500m² - 6750m²

➥ 1750m²

Additional information:-

• ☆ Perimerer of rectangle : 2×(l + b)

• ☆Perimeter of square : (4 × S)

• ☆Area of rectangle : (l × b)

• ☆Area of square : (S)²

• ☆Perimeter of triangle : a + b +c

• ☆Area of triangle : 1/2×h×b

here,

◇ l = length

◇b = breath

◇S = Side

◇(a + b + c) denotes the three side of the triangle.

◇h = height

◇b = base