A rectangular sheet of paper is 12 1/2 cm long and 10 2/3 cm wide . Find its perimeter.
Answers
Answer:
46 1/3 cm
Step-by-step explanation:
Length of sheet = 12 1/2 cm = 25/2 cm
Breadth of sheet = 10 2/3 cm = 32/3 cm
Perimeter of rectangle = 2(l+b)
=> Perimeter = 2(25/2 + 32/3) = 2 {(75+64) / 6} = 2{139/6} cm = 139/3 cm = 46 1/3 cm
Step-by-step explanation:
Length of the rectangular sheet = 12 1/2 cm = (12×2+1)/2 = 25/2 cm
Width of the rectangular sheet = 10 2/3 cm = (10×3+2)/3 = 32/3
Perimeter of rectangle = 2(l+b)
Perimeter of rectangle = 2(25/2 + 32/3)
We have to find the LCM of 2 and 3
2 = 2, 4, 6
3 = 3, 6
The LCM of 2 and 3 is 6
2(25/2 + 32/3) = 2(25×3/2×3 + 32×2/3×2)
= 2(75/6 + 64/6)
= 2(139/6)
= 2×139/6
= 139/3
Ans) Hence the Perimeter of rectangular sheet is 139/3