Question

The areas of a square and rectangle are equal. If the sides of the square is 40 cm and breadth of the rectangle is 25 cm . Find the length of the rectangle . Also find the perimeter of the rectangle.​

Answer 1

To Find :

• Length of rectangle
• Perimeter of rectangle

Solution :

Areas of square and rectangle are equal.

$\underline{\boxed{ \bf \: Area \: of \: square = \: side \times side}}$

side of square = 40cm

Area of square = 40 × 40

⠀⠀⠀⠀⠀⠀⠀ ⠀⠀= 1600cm²

$\underline{\boxed{ \bf \:Area \: of \: rectangle = length \times breadth }}$

l × b = 1600

l × 25 = 1600

l = 1600/25

l = 64 cm

So,

• Length of rectangle is 64cm

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

= 2(64 + 25)

= 2× 89

= 178 cm

• Perimeter of rectangle is 178 cm

━━━━━━━━━━━━━━━━━━━━━━━━━

Answer 2

AnswEr :

• Length of the rectangle is 64 cm .

• Perimeter of the rectangle is 178 cm .

Step-by-step explanation :

GivEn :

• Area of the square = Area of the rectangle

• Side of the square = 40 cm

• Breadth of the rectangle = 25 cm

To find :

• Length of the rectangle = ?

• Perimeter of the rectangle = ?

SoluTion :

We know that,

⇛Area of the square = (side)²

⇛Area of the square = (40)²

⇛Area of the square = 1600 cm²

Also,

➟ Area of square = Area of rectangle

➟ Area of rectangle = 1600 cm²

Now,

⇛Area of rectangle = L × B

⇛1600 = L × 25

⇛L = 1600/25

⇛L = 64 cm

As we know,

➟ Perimeter = 2 ( L + B)

➟ Perimeter = 2 ( 64 + 25 )

➟Perimeter = 2 ( 89 )

➟ Perimeter = 178 cm

$\therefore$ Length of the rectangle is 64 cm & Perimeter of the rectangle is 178 cm .