Question

Richa takes 25 rounds of a square Park with side 20 m and Ashish takes 15 rounds of a rectangular Park with dimensions 15 by 8.who runs more and by how much?​

Answer 1

Answer:

Richa runs more and by 500 m.

Step-by-step explanation:

the perimeter of the square field

=4×side

=4×20

=80 m

Richa takes 25 rounds of the field so we multiply 80 with 25 to get the distance she covered.

so,

80×25=2000 m

the perimeter of the rectangular park

=l×b

=15×8

=120 m

Ashish takes 15 rounds of the park so we multiply 120 with 15 to get the total distance he covered.

so,

120×15=1500 m

2000 > 1500 m

therefore, Richa runs more by 500 m.

hope this helps...

Answer 2

$\large{\dag \; {\underline{\underline{\red{\pmb{\sf{ \; Given \; :- }}}}}}}$

• Richa takes 25 rounds of a Square park of side 20 m.
• Ashish takes 15 rounds of a Rectengular park of dimensions 15 × 8 m .

$\\ \rule{200pt}{3pt}$

$\large{\dag \; {\underline{\underline{\color{darkblue}{\pmb{\sf{ \; To \; Find \; :- }}}}}}}$

• Who runs more and by how much ?

$\\ \rule{200pt}{3pt}$

$\large{\dag \; {\underline{\underline{\orange{\pmb{\sf{ \; Solution \; :- }}}}}}}$

$\maltese \; {\underline{\pmb{\frak{ Formula \; Used \; :- }}}}$

• ${\underline{\boxed{\purple{\sf{ Perimeter{\small_{(Square)}} = 4 \times Side }}}}}$

• ${\underline{\boxed{\purple{\sf{ Perimeter{\small_{(Rectangle)}} = Length \times Breadth }}}}}$

$\\ \qquad{\rule{150pt}{1pt}}$

$\maltese \; {\underline{\pmb{\frak{ Calculating \; the \; Distance \; Covered \; by \; Richa \; :- }}}}$

Perimeter of Field :

${\longmapsto{\qquad{\sf{ Perimeter{\small_{(Square \; Field)}} = 4 \times Side }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ Perimeter{\small_{(Square \; Field)}} = 4 \times 20 }}}} \\ \\ \ {\qquad{\orange{\sf{ Perimeter \; of \; the \; Field = 80 \; m }}}}$

Distance Covered :

${\longrightarrow{\qquad{\sf{ Distance \; Covered{\small_{(Richa)}} = Perimeter \times No. \; of \; Rounds }}}} \\ \\ \ {\longrightarrow{\qquad{\sf{ Distance \; Covered{\small_{(Richa)}} = 80 \times 25 }}}} \\ \\ \ {\qquad{\green{\sf{ Distance \; Covered \; by \; Richa = 2000 \; m }}}}$

$\\ \qquad{\rule{150pt}{1pt}}$

$\maltese \; {\underline{\pmb{\frak{ Calculating \; the \; Distance \; Covered \; by \; Ashish \; :- }}}}$

Perimeter of Field :

${\longmapsto{\qquad{\sf{ Perimeter{\small_{(Rectengular \; Field)}} = Length \times Breadth }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ Perimeter{\small_{(Rectengular \; Field)}} = 15 \times 8 }}}} \\ \\ \ {\qquad{\orange{\sf{ Perimeter \; of \; the \; Field = 120 \; m }}}}$

Distance Covered :

${\longrightarrow{\qquad{\sf{ Distance \; Covered{\small_{(Ashish)}} = Perimeter \times No. \; of \; Rounds }}}} \\ \\ \ {\longrightarrow{\qquad{\sf{ Distance \; Covered{\small_{(Ashish)}} = 120 \times 15 }}}} \\ \\ \ {\qquad{\green{\sf{ Distance \; Covered \; by \; Ashish = 1800 \; m }}}}$

$\\ \qquad{\rule{150pt}{1pt}}$

$\maltese \; {\underline{\pmb{\frak{ Calculating \; the \; Difference \; :- }}}}$

$\begin{gathered} \; \dashrightarrow \; \; \sf { Difference = Distance \; Covered{\small_{(Richa)}} - Distance \; Covered{\small_{(Ashish)}} } \\ \end{gathered}$

$\begin{gathered} \; \dashrightarrow \; \; \sf { Difference = 2000 - 1800 } \\ \end{gathered}$

$\begin{gathered} \; \dashrightarrow \; \; {\qquad{\purple{\sf { Difference = 200 \; m }}}} \\ \end{gathered}$

$\\ \qquad{\rule{150pt}{1pt}}$

$\maltese \; {\underline{\pmb{\frak{ Therefore \; :- }}}}$

❛❛ Richa covered more distance from Ashish by 200 m . ❜❜

$\\ {\underline{\rule{300pt}{9pt}}}$