SOLUTION: the perimeter of the rectangle if the width is twice the root of the length and the area is 250

Algebra.Com
Question 1076140: the perimeter of the rectangle if the width is twice the root of the length and the area is 250
Found 3 solutions by mananth, ikleyn, josgarithmetic:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
the width is twice the root of the length and the area is 250
length be x
width =
Area = 250
x*2sqrt(x)=250
square both sides
4x^3= 250*250
x^3= 125*125
x = sqrt(125*125)
x=25 the length
width = 2*sqrt(x)
= 2*sqrt(25)
=10 the width



Answer by ikleyn(52780)   (Show Source): You can put this solution on YOUR website!
.
the perimeter of the rectangle if the width is twice the root of the length and the area is 250.
~~~~~~~~~~~~~~~~~~~


        The answer in the post by @mananth is correct,  but on the way he made errors
        that shocked me.  I afraid that they shoked you,  too.
        Therefore,  I came to present the solution in a correct form.
        Read my solution attentively;  watch every my step and find the differences between
        my solution and that by @mananth. 


Let the length be x.

Then the width = .

Area = 250:   = 250.

Square both sides

    4x^3 = 250*250,

    x^3 = 125*125 =  = ,

    x =  = 25  the length.

    width =  =  = 2*5 = 10.

    the width = 10.


The perimeter = 25 + 10 + 25 + 10 = 70.    ANSWER

Solved.



Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
---------------------------------------------------------------
the width is twice the root of the length and the area is 250.
---------------------------------------------------------------

L, length
2sqrt(L), width






------length

------the given area

------width

Question asked for perimeter.
RELATED QUESTIONS

the length of a rectangle is twice its width. if the perimeter is 204cm what is the width (answered by lwsshak3)
if a rectangle has a perimeter of 30cm and the length is twice the width what is the... (answered by oscargut)
the perimeter of a rectangle is 36. if the lenth is twice the width, find the length,... (answered by Maths68)
The length of a rectangle is twice its width. If the perimeter of the rectangle is 30cm... (answered by checkley77)
The length of a rectangle is twice its width. If the perimeter of the rectangle is 30ft,... (answered by stanbon)
The length of a rectangle is twice its width. If the perimeter of the rectangle is 54,... (answered by checkley77)
The length of a rectangle is twice its width. If the perimeter of the rectangle is 30in... (answered by Fombitz)
The length of a rectangle is twice it's width. If the perimeter of the rectangle is 54ft, (answered by ewatrrr)
If the length of the rectangle is twice the width, and the perimeter of the rectangle is... (answered by stanbon)