each side of a square is 45cm and a rectangle has length 50cm.if the perimeter of both (square and rectangle)are same,find the breadth of the rectangle
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Answer :
- Breadth of rectangle is 40cm
Given :
- Each side of a square is 45cm
- Length of rectangle is 50cm
- Perimeter of both square and rectangle are same
To find :
- Breadth of rectangle
Solution :
Given
- Side of square is 45cm
We know that,
- Perimeter of square = 4a
》Perimeter of square = 4a
》Perimeter of square = 4 × 45
》Perimeter of square = 180 cm
Given, The perimeter of both (square and rectangle)are same then,
- Perimeter of rectangle is 180cm
Finding the breadth of rectangle :
Given
- Length of rectangle is 50cm
- Perimeter of rectangle is 180cm
- Let the breadth of rectangle be b
We know that,
- Perimeter of rectangle = 2(l + b)
where,
- l is length of rectangle
- b is breadth of rectangle
》Perimeter of rectangle = 2(l + b)
》180 = 2(50 + b)
》50 + b = 180/2
》50 + b = 90
》b = 90 - 50
》b = 40cm
Hence, Breadth of rectangle is 40cm
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