The length of a rectangle is half the width. the area is 25 square meters. what is the perimeter?

The perimeter of the rectangle is 15√2

The given parameters;

length of the rectangle, L =

the area of the rectangle, A = 25 m²

To find:

the perimeter of the rectangle

The area of the rectangle is calculated as;

The perimeter of the rectangle is calculated as follows;

Thus, the perimeter of the rectangle is 15√2

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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