Question

Q: A path of 3 metres wide runs around and outside a rectangule playground of length 15 m and width 10 m. Find the area of the path
Choose one of the options below
A: 150
B: 200
C: 336
D: 186​

Answer 1

Answer:

Length of new rectangle = 15 + 10 = 25m

Breadth of new rectangle = 10 + 10 = 20m

Area of new rectangle = 25 * 20 = 500 m²

Area of previous rectangle = 10 * 15 = 150 m²

Area of path = Area of new rectangle – Area of previous rectangle

Area of path = 500 – 150 = 450m²

Answer 2

Given :-

• A path of 3 metres wide runs around and outside a rectangle playground.
• Length of rectangle playground = 15 m
• Breadth/width of rectangle playground = 10 m

Find :-

• Area of the path ?

Solution :-

➺ Area of smaller rectangle :

• we know that, Area of rectangle = l × b

where,

• L = Length of rectangle
• B = Breadth of rectangle

Putting all values :

➺ Area of park = 15 × 10

➺ Area of park = 150 m²

• Length of the park including path

➺ 15m+3m+3m=21m

• Breadth of the park including path

➺ 10m+3m+3m=16m

• Area of the park including path

➺ 21 × 16 = 336 m²

• Now, Area of the path = Area of larger rectangle - Area of Smaller rectangle.

So, we've:

• Area of larger rectangle = 336 m²
• Area of Smaller rectangle = 150 m²

• Putting all values :

➺ Area of the path = 336 - 150

➺ Area of the path = 186 m²

• Hence, the area of the path = 186m²

• Thus, option (d) is correct.