Question

how many square envelopes of side 16 cm can be made out ofva rectangular sheet of paper 80 cm by 64 cm​

Answer 1

Total length of the sheet=3m24cm(324cm)

Total Breath of the sheet=1m72cm(172cm)

Total Area=342cm×172cm

=55,728cm^2

Area that per envelope requires=(L×B)

=18cm×12cm=216cm^2

Total Number of envelopes=(55,728cm^2)/216cm^2

=258 Envelopes

Answer 2

Answer:

$\bigstar{\bold{Number\:of\:envelopes=20}}$

Step-by-step explanation:

$\Large{\underline{\underline{\sf{Given:}}}}$

• Length of rectangular sheet = 80 cm
• Breadth of rectangular sheet = 64 cm
• Side of the square =  16 cm

$\Large{\underline{\underline{\sf{To\:Find:}}}}$

• Number of square envelopes that can be made out of the rectangular sheet.

$\Large{\underline{\underline{\sf{Solution:}}}}$

➺ First we have to find the total area of the rectangular sheet.

➺ Area of a rectangle is given by,

    Area of a rectangle =  length × breadth

➺ Substitute the data,

    Area of the rectangle = 80 × 64

    Area of the rectangle = 5120 cm²

➺ Now we have to find the area of the square envelopes

➺ Area of a square is given by,

   Area of a square = side × side

➺ Substitute the data,

    Area of the square = 16 × 16

    Area of the square = 256 cm²

➺ Now the total envelopes that can be made is given by,

    Number of envelopes = Area of rectangular sheet/Area of square

➺ Substitute the data,

    Number of envelopes = 5120/256

    Number of envelopes = 20

➺ Hence the number of envelopes that can be made is 20

    $\boxed{\bold{Number\:of\:envelopes=20}}$

$\Large{\underline{\underline{\sf{Notes:}}}}$

➺ The area of a rectangle is given by

    Area of a rectangle = l × b

    where l = length, b= breadth

➺ The area of a square is given by,

    Area of a square = a²

   where a is a side of the square.