Question

A rectangle and a square have same perimeter. If
rectangle is of length 8 cm and breadth 6 cm, find
each side of the square.​

Answer 1

Given :-

• length of the rectangle = 8 cm
• breadth of the rectangle = 6 cm
• perimeter of rectangle = perimeter of square

To Find :-

• find each side of the square ?

Solution :-

we know that,

$\underline{\boxed{ \bold{perimeter \: of \: rectangle = 2 (l + b)}}}$

$\bold{: \implies 2(8 + 6)} \\ \\ \bold{: \implies 2 \times 14 } \: \: \: \\ \\ \bold{: \implies 28 \: cm} \: \: \:$

and it is given that,

• perimeter of rectangle = perimeter of square

$\implies \bold{perimeter \: of \: square = 28 \: cm}$

and we know that

$\underline{ \boxed{ \bold{perimeter \: of \: square = 4 \times side}}}$

$\bold{ : \implies 4 \times side = 28} \\ \\ \bold{: \implies side = \cancel\frac{28}{4} } \: \: \: \: \: \: \: \\ \\ \bold{: \implies side = 7 \: cm} \: \: \: \:$

hence, each side of the square is of 7 cm

Answer 2

Answer:

Side of square= 7 cm

Step-by-step explanation:

Rectangle and Square have same perimeter

and length = 8 cm

breath = 6 cm

perimeter = 28 cm

perimeter of square = 28 cm

Side of square = 7 cm