SOLUTION: The width of a rectangle is 1/4 of the length. The area is twice the perimeter. What are the dimensions of the rectangle?

Question 914040: The width of a rectangle is 1/4 of the length. The area is twice the perimeter. What are the dimensions of the rectangle?
Found 2 solutions by Lenzky, MathTherapy:
Answer by Lenzky(18) (Show Source): You can put this solution on YOUR website!
- Length
- Wide
Perimeter

Area

times both side by 4

&
Checking:
Length:
Wide:
P= 2L + 2W
P= 2(20) + 2(5)
P= 40 + 10
P= 50
A= LW
A= 20 x 5
A= 100
2P = A
2(50) = 100
100 = 100

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

The width of a rectangle is 1/4 of the length. The area is twice the perimeter. What are the dimensions of the rectangle?

Let width of rectangle be W
Then length = 4W
Area of rectangle: W(4W), or
Perimeter of rectangle: 2(W + 4W), or 2(5W), or 10W
Therefore, we get:

4W(W � 5) = 0
W � 5 = 0 OR 4W = 0
W, or width = OR W = 0 (ignore)
Length: 4(5), or units of length
RELATED QUESTIONS
Suppose that the perimeter of a rectangle is 36 and the length is twice the width. What... (answered by benni1013)
the length of a rectangle is twice its width the area of the rectangle is 648 what are... (answered by TheProdicalSon,checkley77)
the length of a rectangle is twice its width the area of the rectangle is 648 what are... (answered by checkley77)
The perimeter of a rectangle is 36 cm. The length of the rectangle is 3 cm more than... (answered by bluemockingjay7)
The length of a rectangle is 3 less than twice the width. The perimeter of the rectangle... (answered by josgarithmetic,MathTherapy)
The length of a rectangle is 2 centimeters less than twice its width. The perimeter of... (answered by EMStelley,CharlesG2)
The length of a rectangle is 5 centimeters less than twice its width. The perimeter of... (answered by checkley77)
The length of a rectangle is 2 centimeters less than twice its width. The perimeter of... (answered by rfer)
the length of a rectangle is 7 cm less than twice its width. the perimeter of the... (answered by richard1234)