Question

Shikha runs around a square of side 75 m. Priya runs around a rectangle with length 60 m and breath 45 m . who covers the smallest distance ?

Answer 1

Given :

• Side of square garden = 75m

• length of rectangle = 45m

• breadth of rectangle = 60m

To Find :

• smallest distance

$\large \red{ \underline{ \underline{ \green{ \rm \: solution : }}}}$

• According to question :

$\rightarrow$ they both ran around square and rectangle .

$\therefore$ We have to find perimeter..

Case 1 (sqaure)

$\: \: \: \: \: \: \rightarrow \large \orange{ \boxed{ \boxed{ \pink{ \rm \: perimeter = 4 \times side}}}}$

$\implies$ Perimeter = 4 × 75m

$\therefore \large\green{ \boxed{ \red{ \rm \: perimeter = 300m}}}$

Case 2 (rectangle)

$\: \: \: \: \: \: \rightarrow \large \orange{ \boxed{ \boxed{ \pink{ \rm \: perimeter = 2( l + b)}}}}$

$\implies$ perimeter = 2 (60 + 45)

$\implies$ 2 × 105

$\therefore \large\green{ \boxed{ \purple{ \rm \: perimeter = 210m}}}$

• Since,

$\rightarrow$ perimeter of square is larger than perimeter of rectangle.

• 300m - 210m

$\large = \red{ \rm \: 90m}$

$\therefore$ Priya has covered smaller distance than Shikha by 90m.

Answer 2

Answer:

Priya

Step-by-step explanation:

Shikha runs the distance= Perimeter of square =4×75=360 m

Priya runs the distance = Perimeter of rectangle =2(l+b)=2(60+45)=210 m

So, priya covers small distance