How many envelopes can be made out of a sheet of paper 2m 38cm by 75cm,if each envelope requires paper of size 17cm by 5cm?
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How many envelopes can be made out of a sheet of paper 2m 38cm by 75cm,if each envelope requires paper of size 17cm by 5cm?
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Verified answer
Given :
Dimensions of a sheet :-
To find :
Knowledge required :-
→ Formula to calculate the area of rectangle :-
⠀⠀⠀⠀⠀Area of rectangle = l × b
where,
→ Unit conversion
Solution :
Firstly, we will convert the length of the sheet from 2 m 38 cm into cm.
→ 2 m = 2 × 100 = 200 cm
Add 200 cm to 38 cm.
→ 200 + 38 = 238 cm
Area of sheet :-
⠀⠀⠀⇒ Area = 238 × 75
⠀⠀⠀⇒ Area = 17,850
Area of the sheet = 17,850 cm²
Area of the envelope :-
⠀⠀⠀⇒ Area = 17 × 5
⠀⠀⠀⇒ Area = 85
Area of the envelope = 85 cm²
Number of envelopes = Area of the sheet ÷ Area of envelope
⠀⠀⠀⇒ 17850 ÷ 85
⠀⠀⠀⇒ 210
Given :
Dimensions of a sheet :-
Length of a sheet = 2 m 38 cm
Breadth of a sheet = 75 cm
To find :
Number of envelopes that can be made out of a paper of size 17 cm by 5 cm
Knowledge required :-
→ Formula to calculate the area of rectangle :-
⠀⠀⠀⠀⠀Area of rectangle = l × b
where,
l = length of the rectangle
b = breadth of the rectangle
→ Unit conversion
1 m = 100 cm
Multiply the value by 100 to convert it from m into cm.
Solution :
Firstly, we will convert the length of the sheet from 2 m 38 cm into cm.
→ 2 m = 2 × 100 = 200 cm
Add 200 cm to 38 cm.
→ 200 + 38 = 238 cm
Length of the sheet = 238 cm
Area of sheet :-
⠀⠀⠀⇒ Area = 238 × 75
⠀⠀⠀⇒ Area = 17,850
Area of the sheet = 17,850 cm²
Area of the envelope :-
⠀⠀⠀⇒ Area = 17 × 5
⠀⠀⠀⇒ Area = 85
Area of the envelope = 85 cm²
Number of envelopes = Area of the sheet ÷ Area of envelope
⠀⠀⠀⇒ 17850 ÷ 85
⠀⠀⠀⇒ 210
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