SOLUTION: hey! can you please help me with my homework?? The world's largest hedge maze is in the grounds of an English country house known as Longleat. The rectangle maze has 2.7 km of

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: hey! can you please help me with my homework?? The world's largest hedge maze is in the grounds of an English country house known as Longleat. The rectangle maze has 2.7 km of       Log On


   



Question 249936: hey!
can you please help me with my homework??
The world's largest hedge maze is in the grounds of an English country house known as Longleat. The rectangle maze has 2.7 km of paths flanked by 16,180 yew trees. The length of the rectangle is 50m more than the width. The area of the rectagle is 6496m(squared). What are the dimensions of the rectangle?
please help me! THANK YOU!

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
This is the only information you need for this
:
The length of the rectangle is 50m more than the width.
The area of the rectangle is 6496m(squared).
What are the dimensions of the rectangle?
:
L = W + 50;(length is 50 m more than the width)
;
L * W = 6496; (the area)
:
Replace L with (W+50)
W(W+50) = 6496
:
W^2 + 50W - 6496 = 0; a quadratic equation
:
Use the quadratic formula for this:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
;
In this problem: x=w; b=50; c=-6496
w+=+%28-50+%2B-+sqrt%2850%5E2-4%2A1%2A-6496+%29%29%2F%282%2A1%29+
Do the math here
:
You should get a positive solution
w ~ 59.386 is the width, easy to find length then
Check solution by finding the area