What is the equivalent exponential expression for the radical expression below?
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Correct question : the width of a rectangle is half of the length. The area is 25 square meters. What is the perimeter ?
Let the Length of the rectangle be 2x m and width be half of the length that is ( 2x ÷ 2 ) = x m
We know, Area of Rectangle = length × width
Applying formula,
=> 25 = 2x × x
=> 25 = 2x²
=> 12.5 = x²
=> ±√12.5 = x
Dimensions can't be negative, taking positive value,
Therefore,
Breadth = x = √12.5 m
Length = 2x = 2√12.5 m
We know, perimeter of Rectangle = 2( Length + Breadth)
Then,
Perimeter = 2( 2√12.5 + √12.5 ) m
Perimeter = 2( 3√12.5 ) m
Perimeter = 6√12.5 m
Hence, perimeter of the rectangle is 6√12.5 m