Question

Q.25 The total length of all sides of a rectangular park is 72 metres.
If its length is 20 metres then its area is:​

Answer 1

Answer:

If length=20m then width= 16m

Area of the rectangular park=length x width

=20x16

=320metre^2

Answer 2

Given : The total length of all sides of a rectangular park is 72 metres. Its length is 20 metres.

To find : The area of the rectangular park.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the area of the rectangular park)

Now,

Total length of all sides = 72 metres

And,

Total length of all sides = Perimeter of the rectangular park

Which implies,

Perimeter of the rectangular park = 72 metres

Let, the breadth of the rectangular park = x metres

So, the perimeter of the rectangular park :

= 2 × (Length + Breadth)

= 2 × (20 + x)

= (40 + 2x) metres

By, comparing the two values of the perimeter of the rectangular park, we get :

40 + 2x = 72

2x = 72 - 40

2x = 32

2x = 32/2

x = 16

So, the breadth of the rectangular park = x metres = 16 metres

Now, the area of the rectangular park will be :

= Length × Breadth

= 20 × 16

= 320 m²

(This will be considered as the final result.)

Hence, the area of the rectangular park is 320 m².