A rectangular park is 45m long and 30m wide.a path 2.5 m wide is constructed outside the park.Find the area of the path?

Question

Answer

Answer

Length =45mbreath=30mnow area of rectangles leaving (park) =l×b=45×30=1350sq nnow length of park=45+2.5×2=50mbreath=30+5=35mnow area of park with reactangles =50×35=1750sq nnow area of park leaving reactangle=1750-1350=400sqm ans.

Answer

400m*

Answer

400

Answer

Given Information:
- Length of the rectangular park: 45m
- Width of the rectangular park: 30m
- Width of the path: 2.5m

Required:
- Area of the path

Approach:
To find the area of the path, we need to determine the area of the outer rectangle formed by adding the path to the dimensions of the park and then subtract the area of the park itself.

Calculation:

Step 1: Calculate the dimensions of the outer rectangle:
To calculate the dimensions of the outer rectangle, we need to add the width of the path to the dimensions of the park.

Length of the outer rectangle:
The length of the outer rectangle will be the sum of the length of the park and twice the width of the path because the path is constructed on the outside of the park on both sides.
Length of the outer rectangle = Length of the park + 2 × Width of the path
Length of the outer rectangle = 45m + 2 × 2.5m
Length of the outer rectangle = 45m + 5m
Length of the outer rectangle = 50m

Width of the outer rectangle:
The width of the outer rectangle will be the sum of the width of the park and twice the width of the path because the path is constructed on the outside of the park on both ends.
Width of the outer rectangle = Width of the park + 2 × Width of the path
Width of the outer rectangle = 30m + 2 × 2.5m
Width of the outer rectangle = 30m + 5m
Width of the outer rectangle = 35m

Step 2: Calculate the area of the outer rectangle:
To calculate the area of the outer rectangle, we need to multiply its length and width.
Area of the outer rectangle = Length of the outer rectangle × Width of the outer rectangle
Area of the outer rectangle = 50m × 35m
Area of the outer rectangle = 1750m²

Step 3: Calculate the area of the park:
To calculate the area of the park, we need to multiply its length and width.
Area of the park = Length of the park × Width of the park
Area of the park = 45m × 30m
Area of the park = 1350m²

Step 4: Calculate the area of the path:
To calculate the area of the path, we need to subtract the area of the park from the area of the outer rectangle.
Area of the path = Area of the outer rectangle - Area of the park
Area of the path = 1750m² - 1350m²
Area of the path = 400m²

Final Answer:
The area of the path is 400m².

Answer

Length of the path =45mwidth of the path =2.5marea of path(rectangle)= l×b=45×2.5=112.5

Answer

400 sq.m

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