Question

3. A rectangular park is 90 m long and 70 m broad.Apath 6 m wide is to be built around the inside of the park. Find the area of the path. Also, find the area
of the remaining park in hectares.​

Answer 1

║⊕ANSWER⊕║

Length of the rectangular park = 90 m

Breadth of the rectangular park = 70 m

Width of the path = 6 m

Breadth of the path = 70 - ( 6 x 2 )

= 70 - 12

= 58 m

Length of the path = 90 - ( 6 x 2 )

= 90 - 12

= 78 m

Area of the path = l x b

= 78 m x 58 m

= 4524 $m^{2}$

Area of the park including the  path = l x b

                                                           = 90 m x 70 m

                                                            = 6300 $m^{2}$

Area of the park excluding the path = Area of the park including the path - Area of the path

= 6300 m2 - 4524 m2

= 1776 m2

1 hectare = 10,000 m

Area of remaining park in

hectares = 1776/10000

= 0.1776 m2

Area of the path is 4524 $m^{2}$. And the area of the remaining park in hectares is 0.1776 $m^{2}$.

Answer 2

Answer:

1776m² , 0.4524 hectares

Step-by-step explanation:

Area of park = 90 × 70

= 6300m²

Length of path = 90 - ( 6 × 2 )

= 90 - 12

= 78 m

Breadth of path = 70 - ( 6 × 2 )

= 70 - 12

= 58 m

Area of path = 6300m² - ( 78 × 58 )

= 6300 - 4524

= 1776m²

Area of remaining park = 78 × 58

= 4524m²

= 4524 ÷ 10,000

= 0.4524 hectares