Question

the length of a rectangular field is twice its breadth a girl jogged around it 4 times and covered a distance of 4.5 km what is the length of the field​

Answer 1

$\red{\textbf{Answer :- 375m}}$

Step-by-step explanation:

$\red{\textbf{Given :-}}$

$\textsf{length = 2B}$

$\textsf{distance covered by girl = 4.5km}$

$\red{\textbf{To find :-}}$

$\textsf{length of the field.}$

$\LARGE\textsf{Now, }$

$\textsf{Let L and B are the length and breadth of}$

$\textsf{the rectangle.}$

$\textsf{Perimeters=2×(L+B)}$

∴$\textsf{Jamal jogged around it four times and}$

$\textsf{covered a distance of 4.5 km}$

∴$\textsf{4×[2×(L+B)]=4.5km}$

$\textsf{4×[2(L+B)]=4.5 km}$

$\textsf{8×(L+B)=4.5 km}$

$\textsf{8×(2B+B)=4.5 km}$

$\textsf{8×3B=4.5 km}$

$\textsf{24B=4.5×1000 m}$

$\textsf{=4500 m}$

$b = \LARGE \frac{4500}{24}$

$= 187.5 \: m$

∴$\textsf{length of the field =}$

$= 2 \times 187.5m$

$= 375m$