Question

If it costs Rs.1600 to fence a rectangular park of length 20 m at the rate of
Rs.25 per m², find the breadth of the park and its perimeter. Also, find the
area of the field.

Answer 1

Answer:

Breadth = 16/5

Step-by-step explanation:

total cost = 1600m²

cost of per m² = 25

cost 1m²= 1600/25

= 64

Area of rectangle = 64

l x b = 64

20 x b = 64

B = 64/20

= 16/5

Answer 2

GIVEN

Total cost to fence the rectangular Park

= Rs. 1600

Length of rectangular park = 20 m

TO FIND

Breadth of rectangular park

Perimeter of rectangular park

And,

Area of rectangular park

FORMULA

Breadth of rectangular park =

( Area ÷ Length )

Perimeter of rectangular park

= 2 ( L + B )

Area of rectangular park =

( Length × Breadth)

SOLUTION

Perimeter of rectangular park =

( 1600 ÷ 25 ) m

= 64 m

So, the perimeter of park is 64 m

AND,

We know that,

2 ( L + B ) = Perimeter of rectangular park

Let the breadth be x

= 2 ( 20 + x ) = 64

= 40 + 2x = 64

= 2x = 64 - 40

= 2x = 24

= x = 24 ÷ 2

= x = 12

So, the breadth of the rectangular park

= 12 m

NOW,

Area of rectangular park = ( L × B )

THEN,

= ( 20 × 12 ) m^2 (^ means square)

= 240 m^2

So, the area of rectangular park is

240m^2

ANSWERS

Breadth of rectangular park is 12m

Perimeter of rectangular park is 64m

Area of rectangular park is 240m^2

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