Question

Which of the following has least perimeter? 

A. A rectangle of length 10 cm and breadth 5 cmtion 1

B. A square of side 10 cm

C. A rectangle of length 10 cm and breadth 2 cm​

Answer 1

Answer:

A rectangle of length 10 cm and breadth 2 cm is the rectangle with least perimeter.

Step-by-step explanation:

A. perimeter of the rectangle = 2(5+10)

= 30 cm

B. perimeter of square = 4(10 cm)

= 40 cm

C. perimeter of the rectangle = 2( 10+2)

= 24 cm

so C is the right option

Answer 2

Which of the following has least perimeter ?

A) A rectangle of length 10cm and breadth 5 cm

B) A square of side 10cm

C) A rectangle of length 10 cm and breadth 2cm

Answer :

A) Let's check this

Formula :

$\boxed{ \tt{\color{blue}perimeter = 2(l + b)}}$

$\tt{\color{green}perimeter = 2(10 + 5)}$

$\tt{\color{orange}perimeter = 2 \times 15}$

$\tt{\color{red}perimeter = 30}$

$\underline{ \boxed{\tt{\color{purple}so \: option \: a) \: = 30cm}}}$

B) Let's check it

Formula :

$\boxed{ \tt{\color{blue}perimeter = 4 \times sides}}$

$\tt{\color{green}perimeter = 4 \times 10cm}$

$\tt{\color{orange}perimeter = 40cm}$

$\underline{\boxed{\tt{\color{purple}so \: option \: b) \: = 40cm}}}$

C) Let's check this

Formula :

$\boxed{ \tt{\color{blue}perimeter = 2(l + b)}}$

$\tt{\color{green}perimeter = 2(10 + 2)}$

$\tt{\color{orange}perimeter = 2 \times 12}$

$\tt{\color{red}perimeter = 24cm}$

$\underline{ \boxed{\tt{\color{purple}so \: option \: c) \: = 24cm}}}$

So option C) is correct that a rectangle of length 10 cm and breadth 2cm ✓.