Question

Find the length
A park is 150 m long and 120 m wide. A 4 m wide path runs along all sides inside
the park. Find the area of the park and that of the path.​

Answer 1

Answer:

Area of Park = 18,000 m^2

Area of Path = (20224-18000) m^2 = 2,224 m^2

Step-by-step explanation:

Dude its very easy...

Just look at the diagram attached.

Initially, in case of park,

• Length = 150 m
• Breadth = 120 m

Area = (150 x 120) m^2 = 18,000 m^2

Now, a 4 m wide path is constructed all around

So, In case of park + path,

• Length = (150 + 4 + 4) m

                    = 158 m

• Breadth = (120 + 4 + 4) m

                      = 128 m

Area = (158 x 128) m^2 = 20,224 m^2

Hence,

Area of Park = 18,000 m^2

Area of Path = (20224-18000) m^2 = 2,224 m^2

Hope it helps you buddy....

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Answer 2

Given :-

Length of the park = 150 m

Width of the park = 120 m

Width of the path = 4 m

To Find :-

The area of the park.

The area of the path.

Analysis :-

First find the area of the rectangular park by it's respective formula.

Then find the area including the path accordingly.

Finally, subtract the area of the rectangle from area including the path in order to get the area of path.

Solution :-

We know that,

• l = Length
• b = Breadth
• a = Area

(Please refer to the attachment provided for your reference.)

By the formula,

$\underline{\boxed{\sf Area \ of \ rectangle = Length \times Breadth }}$

Given that,

Length (l) = 150 m

Breadth (b) = 120 m

Substituting their values,

Area = 150 × 120

Area = 18000 m²

Finding the new dimensions,

Length (l) = 150 + 4 + 4 = 158 m

Breadth (b) = 120 + 4 + 4 = 128 m

Given that,

Width of the path = 4 m

Finding it's area,

Area = 158 × 128

Area = 20224 m²

According to the question,

Area of path = Area of the rectangular including path - Area of rectangle

By substituting,

Area of path = 20224 - 18000

Area = 2224 m²

Therefore,

Area of park = 18000 m²

Area of path = 2224 m²