The perimeter of a rectangle is 128 centimeters and the length is 47 centimeters. Find the width of the rectangle.
Answers
Required Answer :
The width of the rectangle = 17 cm
Given :
- Perimeter of the rectangle = 128 cm
- Length of the rectangle = 47 cm
To find :
- Width of the rectangle = ?
Solution :
To find the width of the rectangle, we will use the formula of perimeter of rectangle.
→ Perimeter of rectangle = 2(l + b)
where,
- l denotes the length of the rectangle
- b denotes the width of the rectangle
Substituting the given values :
→ 128 = 2(47 + b)
→ 128/2 = 47 + b
→ 64 = 47 + b
→ 64 - 47 = b
→ 17 = b
→ The value of b = 17
Therefore, the width of the rectangle = 17 cm
Given-:
- Perimeter of a Rectangle = 128 cm²
- Length of a Rectangle = 47 cm
To Find-:
- Breadth of the Rectangle = ?
Calculation-:
- Perimeter of a Rectangle = 2(Length + Breadth)
- Let the Breadth a Rectangle be x cm
ACCORDING TO THE QUESTION
128 = 2 ( 47 + x )
128/2 = 47 + x
64 = 47 + x
x = 47 - 64
x = 17
Hence, the Breadth of a Rectangle is 17cm.
☛ MORE TO KNOW
★ Perimeter-: Perimeter of a closed figure is the sum of lengths of all the sides.
↦Rectangle
Perimeter of a Rectangle = 2 (Length + Breadth)
↦Square
Perimeter of a Square = 4 × Side
↦Equilateral Triangle
Perimeter of a Equilateral Triangle = 3 × Side of a Triangle
______________________________
★ Area-: Area of a closed figure is the amount of region or plane enclosed by it.
↦Rectangle
Area of a Rectangle = Length × Breadth
↦Square
Area of a Square = (Side)²
↦Irregular Figure-: Area of Irregular figures is calculated using following steps:
Step 1: Count full squares, half squares and more than half of squares covered by the figure separately.
Step 2: Area covered by a full square and more than half of a square is counted as 1 sq. unit.
Step 3: Area covered by half of a square is counted as 1/2 sq. unit.
Step 4: Portions that covers less than half of a square are ignored.