Question

11. Parveen runs around a square of side 40 m. Naveen runs around a rectangle of length 45 m and
breadth 40 m. Who covers more distance and by how much?​

Answer 1

• Naveen is covering 10 m more distance than praveen.

Explanation:

To find:-

• Who covers more distance and by how much.

Solution:-

Here, Concept is if they both are running around the shapes then we need to find perimeter of shapes. Perimeter of both shapes will be the distance which Parveen and Naveen are covering.

Given:-

For Square:-

Side of square is 40 m.

For Rectangle :-

Length of rectangle is 45 m.

Breadth of rectangle is 40 m.

Parveen :-

Perimeter of square = 4×side

= 4 × 40

= 160

Parveen is covering distance of 160 m.

Naveen :-

Perimeter of rectangle = 2(Length + Breadth)

= 2 × (45 + 40)

= 90 + 80

= 170

Naveen is covering distance of 170 m.

Now,

= 170 - 160

= 10

Therefore,

Naveen is covering 10 m more distance than Parveen.

Answer 2

Answer : Naveen covers more distance

Given : Parveen runs around a square of side 40 m. Naveen runs around a rectangle of length 45 m and breadth 40 m.

To find : Who covers more distance and by how much?

Concept insight : While they run around two fields that are square and rectangle respectively they cover the distance that is equal to their perimeters . That is so because perimeter is defined as the length of the boundary of a closed figure . So here firstly we shall find their perimeters and then compare those .

Solution :

To find how much distance each of them covers we need to find the perimeter ,

In case of Parveen we have the following ,

Side of square = 40 m

Perimeter = 4 × Side

Perimeter = 4 × 40

Perimeter = 160 m

In case of Naveen ,

Length of rectangular field = 45 m

Breadth of rectangular field = 40 m

Perimeter = 2(l + b)

Perimeter = 2 × ( 45 + 40 )

Perimeter = 2 × 85

Perimeter = 170 m

So , Naveen covers more distance and that To by 170 - 160 = 10 m .