Question

Aman jogs around a square park of side of its 250m. Suresh jogs around a rectangular parkof length 80m and breadth 65m. Who covers a greater distance and by how much?​

Answer 1

Correct Question :-

• Aman jogs around a square park of side 250 m. Suresh jogs around a rectangular park of length 80 m and breadth 65 m. Who covers a greater distance and by how much?

Answer :-

• Aman covers a greater distance by 710 m.

Step-by-step explanation :-

• Here, we are first going to find the perimeter of the square park around which Aman jogs. Then we will find the perimeter of the rectangular park around which Suresh jogs and finally, we will compare the perimeters to find out who covers a greater distance and by how much.

• We are going to find the perimeter of the parks because Aman and Suresh jog around them.

----------------

• Let's find the perimeter of the square park first!

We know that :-

$\underline{ \boxed{\sf Perimeter \: of \: a \: square = 4 \times Side}}$

Here,

• Side = 250 m.

Hence,

$\boxed{\tt Perimeter = 4 \times 250}$

Multiplying 250 with 4,

$\overline{\boxed{\tt Perimeter = 1000 \: m}}$

----------------

• Now let's find the perimeter of the rectangular park!

We know that :-

$\underline{ \boxed{\sf Perimeter \: of \: a \: rectangle = 2 \: (L + B)}}$

Here,

• Length = 80 m.
• Breadth = 65 m.

Hence,

$\boxed{\tt Perimeter = 2 \: (80 + 65)}$

Adding the numbers inside the brackets,

$\boxed{\tt Perimeter = 2 \: (145)}$

Removing the brackets,

$\boxed{\tt Perimeter = 2 \times 145}$

Multiplying 145 with 2,

$\overline{\boxed{\tt Perimeter = 290 \: m}}$

Now, we have :-

• Perimeter of the square park = 1000 m.
• Perimeter of the rectangular park = 290 m.

It is clear that :-

• 1000 m is greater than 290 m.
• So, Aman covers a greater distance.

Difference between the distance covered by them is :-

$\overline{\underline{\boxed{\bf1000 - 290 = 710 \: m.}}}$

----------------

• Hence, Aman covers a greater distance by 710 m.

Answer 2

Answer:

• Aman covered greater distance from Suresh and he travels 710 m.

Step-by-step explanation:

Given :-

• Side of the square park = 250 m.
• Length of rectangular park = 80 m.
• Breadth of rectangular park = 65 m.

To Find :-

• Who covers a greater distance and by how much.

Basic Terms :-

• Square : A regular quadrilateral that has four equal sides and four equal angles.
• Rectangle : A regular quadrilateral that has four right angles.

Formula Used :-

➊ To find the perimeter of square park we know that,

✦ Perimeter of square = 4 × side ✦

where,

• side = 250 m.

➋ To find the perimeter of rectangular park we know that,

✪ Perimeter of rectangle = 2(l + b) ✪

where,

• l = length.
• b = breadth.

Solution :-

➊ Firstly, let us find out the perimeter of square park by Aman.

Given :

• side = 250 m.

According to the question by using the formula we get,

↦ Perimeter of square = 4 × side

↦ Perimeter of square = 4 × 250 m

➦ Perimeter of square = 1000 m

∴ Hence, the perimeter of the square park is 1000 m.

➋ Now, let us find out the perimeter of the rectangular park by Suresh.

Given :

• Length = 80 m.
• Breadth = 65 m.

According to the question by using the formula we get,

↦ Perimeter of rectangle = 2(l + b)

↦ Perimeter of rectangle = 2(80 + 65)

↦ Perimeter of rectangle = 2(145)

↦ Perimeter of rectangle = 2 × 145

➦ Perimeter of rectangle = 290 m

∴ Hence, the perimeter of the rectangular park is 290 m.

➌ At last, we will find out the difference between Aman and Suresh.

↦ 1000 - 290

➦ 710 m

∴ Hence, Aman covered greater distance from Suresh by 710 m.