Question

Gaurav takes 15 rounds of a rectangular park whose length is twice its breadth. If the total distance coveredby Gaurav is 900 m, find the length and breadth of the park.​

Answer 1

GIVEN:

• The length of the park is twice its breadth.
• The total distance covered by Gaurav is 900m

TO FIND:

• What is the length and breadth of the park ?

SOLUTION:

Let the length of the park be 'l' m and breadth be 'b' m

We have given that, the length of the park is twice its breadth.

$\bf{\dashrightarrow l = 2b....1)}$

⚫ Gaurav takes 15 rounds of a rectangular park and the total distance covered by Gaurav is 900 m

$\rm{\dashrightarrow \cancel\dfrac{900}{15} }$

$\bf{\dashrightarrow 60 \: m }$

❮ It means Gaurav cover 60 m distance in one round ❯

$\bf{\dashrightarrow Perimeter = 60 \: m}$

We know that the formula for finding the perimeter of the rectangular park is:-

$\bf{\star \: Perimeter = 2(Length + Breadth)\: \star}$

According to question:-

$\rm{\dashrightarrow 60 = 2(2b + b) }$ (From equation 1)

$\rm{\dashrightarrow 60 = 2\times3b }$

$\rm{\dashrightarrow 60 = 6b }$

$\rm{\dashrightarrow b = \cancel\dfrac{60}{6} }$

$\bf{\dashrightarrow \star \: b = 10 \: m \: \star}$

Put the value of 'b' in equation 1)

$\rm{\dashrightarrow l = 2 \times 10 }$

$\bf{\dashrightarrow \star \: l = 20 \: m \: \star}$

❝ Hence, the length and breadth of the rectangular park is 20 m and 10 m respectively. ❞

______________________

Answer 2

Answer:

question:Gaurav takes 15 rounds of a rectangular park whose length is twice its breadth. If the total distance covered

by Gaurav is 900 m, find the length and breadth of the park.

answer:

length of park = 2 × breadth of park

= l = 2b=l=2b

\begin{gathered}perimetre \: of \: park \: \\ = 2(l + b) \\ = 2(2b + b) \\ = 2 \times 3b \\ = 6b\end{gathered}

perimetreofpark

=2(l+b)

=2(2b+b)

=2×3b

=6b

Gaurav takes 15 rounds of rectangular park by 900m

\begin{gathered} = 15 \times 6b = 900m \\ = > 6b = \frac{900m}{15} \\ = > 6b = 60m \\ = > b = \frac{60m}{6} \\ = > b = 10m\end{gathered}

=15×6b=900m

=>6b=

15

900m

=>6b=60m

=>b=

6

60m

=>b=10m

therefore, breath of rectangle =10m

given,l=2b

then,l=2×10m

=> l=20m