A rectangular sheet of paper is 4/7 cm long and 6/9 cm wide. Find it's perimeter .
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Given :
- Length of sheet = 4/7 cm
- Breadth of sheet = 6/9 cm
To Find :
- Perimeter of the Sheet.
Formula :
- Perimeter = 2(Length + Breadth)
Solution :
⟶⠀Perimeter = 2(Length + Breadth)
- putting the values
⟶⠀Perimeter = 2(4/7 + 6/9)
- Taking the LCM of denominator
⟶⠀Perimeter = 2(4 × 9/7 × 9 + 6 × 7/9 × 7)
- solving it
⟶⠀Perimeter = 2(36/63 + 42/63)
- taking the denominator as common.
⟶⠀Perimeter = 2(36 + 42/63)
- adding the numerator
⟶⠀Perimeter = 2(78/63)
- solving the fraction.
⟶⠀Perimeter = 2(1.23)
- opening the bracket.
⟶⠀Perimeter = 2 × 1.23
- getting the answer
⟶⠀Perimeter = 2.46cm
Therefore :
- Perimeter of the Sheet is 2.46cm
Knowledge Zone :
What is Rectangle ?
- Rectangle is a shape with similar opposite sides, only 2 sides are equal. With 4 equal sides shape is called as square.
Properties :
Properties of rectangle are :
- Opposite sides are equal and parrallel
- Opposite angles are equal.
- Adjacent angles are supplementary.
- Diagonals are equal.
- Each of the angles is a right angle.
Formulas :
- Perimeter = 2( l + b)
- Area = Length × Breadth
- Length = Area / Breadth
- Breadth = Area / Length
- Diagonal = √(l)² + (b)²
- l = Length
- b = Breadth
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