Question

A rectangle have the same perimeter. If the length of a side of the square is 8cm and the length of a side of the rectangle is 6cm, what is the length of the other side of the rectangle?

Answer 1

$\bigstar \: \pmb {\bold{given}}$

• Length of the side of a square = 8 cm

• Length of the side of a Rectangle = 6 cm

• Perimeter is same

$\bigstar \: \pmb {\bold{find}}$

$\bold{ \bullet \:breadth \: of \: the \: rectangle}$

$\bigstar \pmb{ \sf\: solution}$

$\dagger \rm \: As \: all \: the \: sides \: of \: the \: square \: are \: equal \\ \therefore$

P = 4 × s

P = 4 × 8

Perimeter = 32 cm

Now as already it is mentioned in the question perimeter is same for both the shapes .

We got new values :

Perimeter of Rectangle = 32 cm

Length of Rectangle = 6

Breadth = ?

$\underline{ \underline{ \sf \leadsto \red{\: breadth \: = \frac{perimeter}{2} - length }}}$

$\bold{ : \implies \: breadth = \frac{32}{2} - length}$

$\bold{ : \implies \: breadth = \frac{32}{2} - 6}$

$\bold{ : \implies \: breadth = \cancel\frac{32}{2} = 16 - 6}$

$\underline{\underline\bold{ : \implies \: \purple{breadth = 10}}}$

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Answer 2

Step-by-step explanation:

$\bigstar \: \pmb {\bold{given}}$

• Length of the side of a square = 8 cm

• Length of the side of a Rectangle = 6 cm

• Perimeter is same

$\bigstar \: \pmb {\bold{find}}$

$\bold{ \bullet \:breadth \: of \: the \: rectangle}$

$\bigstar \pmb{ \sf\: solution}$

$\dagger \rm \: As \: all \: the \: sides \: of \: the \: square \: are \: equal \\ \therefore$

P = 4 × s

P = 4 × 8

Perimeter = 32 cm

Now as already it is mentioned in the question perimeter is same for both the shapes .

We got new values :

Perimeter of Rectangle = 32 cm

Length of Rectangle = 6

Breadth = ?

$\underline{ \underline{ \sf \leadsto \red{\: breadth \: = \frac{perimeter}{2} - length }}}$

$\bold{ : \implies \: breadth = \frac{32}{2} - length}$

$\bold{ : \implies \: breadth = \frac{32}{2} - 6}$

$\bold{ : \implies \: breadth = \cancel\frac{32}{2} = 16 - 6}$

$\underline{\underline\bold{ : \implies \: \purple{breadth = 10}}}$

_______________________________