Length is twice the width and the total area is 50 feet squared. what is the length and width?

Question

twice as long as it is wide and the area is 50ft squared...what is the length and width?

Answer 1

Given

The area of the rectangle is 50 feet squared.

The length of a rectangle is twice the width.

Let the width of a rectangle is x .

So the length of a rectangle is 2 x. 

The area of the rectangle = length * width.

50 =  2 x  * x

50=  2 x ^2

50 / 2 = x ^2

25 = x ^2

⇒  x ^2 =  25

⇒  x  = √25

⇒  x  =  ± 5

Measurents is always positive.

So the width of a rectangle is 5 feets

Therefore the length of a rectangle is 2 x. 

 = 2 (5) =10 feets

Solution :   The length of a rectangle is 10 feets and

the width of a rectangle is 5 feets.