each side of a square is 45 cm and a rectriangle has length 50 cm if the perimeter of (square and rectangle) are same find the breadth of the rectangle
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Given: The area of square and rectangle are equal. The side of the square is 40 cm and the breadth of the rectangle is 25 cm.
To find: Length of the rectangle and perimeter of the rectangle
Solution: Side of square = 40 cm
Area of square
= Side × Side
= 40 × 40
= 1600 cm square
Breadth of the rectangle= 25 cm
Area of rectangle
= Length × Breadth
= Length × 25
Since the area of square and rectangle are equal, therefore
Length × 25 = 1600
=> Length = 1600/25
=> Length = 64 cm
Perimeter of the rectangle is given by
= 2 × ( Length + Breadth)
= 2 × (64+25)
= 2×89
= 178 cm
Therefore, the length of the rectangle is 64 cm and the perimeter of the rectangle is 178 cm.
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