Question

Priya runs around a square field of side 58m. Prakash runs around a rectangular field with length 170m and breadth 120m. Who covers more distance and by how much?

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

Prakash covered 348 m more than the Distance covered by Priya.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Priya runs around a Square field of Side 58 m.

Prakash runs around a Rectangular Field of length 170m and breadth 120m.

To Find :

Who covers more distance and by how much

Solution :

◆ $\textbf{\small{\underline{Distance covered by Priya -}}}$

To get the distance covered by Priya, find the perimeter of the Square Field around which she ran.

★ Perimeter = $\boxed{\sf{Side \times 4}}$

$\longrightarrow$ 58 × 4

$\longrightarrow$ 232

Priya covered 232 m.

$\rule{300}{1.5}$

◆ $\textbf{\small{\underline{Distance covered by Prakash -}}}$

To get the distance covered by Prakash, find the perimeter of the Rectangular Field around which he ran.

★ Perimeter = $\boxed{\sf{2(Length+ Breadth)}}$

$\longrightarrow$ 2(170 + 120)

$\longrightarrow$ 340 + 240

$\longrightarrow$ 580

Prakash covered 580 m.

$\rule{300}{1.5}$

580 > 232

Prakash covered more Distance than Priya.

◆ $\textbf{\small{\underline{Distance covered more -}}}$

$\longrightarrow$ 580 - 232

$\longrightarrow$ 348

$\therefore$ Prakash covered 348 m more than the Distance covered by Priya.

Answer 2

$\bf\huge\mathfrak\blue{Answer:-}$

Priya and Prakash runs around a square and a rectangular field respectively. Now as it is mentioned they run around the field so we are going to consider the perimeter of both the square and the rectangular field to find who covers more distance by how much.

Let's hit up!

$\bf\tt{Sqaure}$

Given :-

Side of the square field = 58m

To find :-

Perimeter of the square field.

Formula :-

$\bf\huge\rm{Perimeter\:of \:a\:sqaure \: = 4 × side }$

Solution :-

Perimeter = 4 × side

Perimeter = 4 × 58

$\bf\huge\boxed{<strong><u> </u></strong><strong><u>Perimeter </u></strong><strong><u>=</u></strong><strong><u> </u></strong><strong><u>232m</u></strong>}$

Now Prakash runs in a rectangular field.

Given :-

Length of the rectangular field = 170 m

Breadth of the rectangular field = 120 m

To find :- Perimeter of the rectangular field

Formula :- $\bf\huge\rm{Perimeter \:of\:a\:rectangle= 2(Length+ Breadth)}$

Solution :-

Perimeter= 2(Length + Breadth)

Perimeter = 2 ( 170 + 120)m

Perimeter = 2 ( 290) m

$\bf\huge\boxed{ <strong><u>Perimeter </u></strong><strong><u>=</u></strong><strong><u> </u></strong><strong><u>580 </u></strong><strong><u>m</u></strong>}$

Now let's compare the distance travelled by Priya and Prakash to figure out who travelled more distance by how much.

Distance travelled by Priya = 232 m

Distance travelled by Prakash = 580 m

Since, 580 > 232, it means that Prakash travelled more distance as compared with Priya.

By how much?

Distance travelled by Prakash - Distance travelled by Priya

= 580 - 232

= 348

•°• Prakash travels a distance of 348 m more than Priya.

$\bf\red\mathfrak{Monkeyking01}$