Question

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

Answer 1

The answer is  6√12.5 m hope this helps!

Answer 2

$\text{Your question needs a correction} :$


Correct question : the width of a rectangle is half of the length. The area is 25 square meters. What is the perimeter ?





$\bold{ \: solution : - }$


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

$= > \frac{25}{2} = {x}^{2}$

=> 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