SOLUTION: Hi there hows it going? I was wondering if you would be able to assist me please. I am stuck on how to work out a word problem, regarding a rectangle. It goes like this: The perime

Question 129139: Hi there hows it going? I was wondering if you would be able to assist me please. I am stuck on how to work out a word problem, regarding a rectangle. It goes like this: The perimeter of a rectangular field is 184m, and its area is 1920m^2. Find the dimensions of the recangle.
I have worked out that the dimensions are in fact 32m x 60m = 1920m^2, or (32 x 2) + (60 x 2) = 184m. However what I need to know is how to work this out with a formular as I will not always have an entire hour to muck around. Your help would be greatly appreciated. Cheers D.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
2L+2w=184
L*w=1920
.
L=1920/w
2(1920/w)+2w=184 Substitute 1920/w for L
3840/w+2w=184
3840+2w^2=184w multiply each side by x to eliminate fractions.
2w^2-184w+3840=0
2(w^2-92+1920)=0
w^2-92+2116=-1920+2116 complete the square
(w-46)^2=196
w-46=+-14
w=46+-14
w=60, w=32
.
Ed

RELATED QUESTIONS
How's it going? I was wondering if you would be able to assist me please, as I am stuck... (answered by bucky,chitra)

I am stuck on this word problem and wondering if you would be able to assist me. J.... (answered by rfer)

Hello I was wondering if you would be able to assist me please, as I am stuck on some... (answered by jim_thompson5910)

Hello I was wondering if you would be able to assist me please. I am given a quadratic... (answered by scott8148)

I was wondering if you would be able to assist me with this problem... y=x^2-2x-9 (answered by edjones)

Hi, I am looking to solve a problem and was wondering if somebody could assist me... (answered by macston)

Hey hows it going? Have been trying to work this one out all night, its late I'm tired,... (answered by checkley71)

hello. i'm kind of stuck on this work word problem and I was wondering if you could help... (answered by 123454321,ptaylor)

Hi, I am confused about this problem and was wondering if you could help me. Solve the (answered by josgarithmetic)