SOLUTION: A woman bought 65 lb. of fertilizer to spread over her rectangular backyard. if she spread it at a rate of 20 lb. to 1000 ft. and the length of the yard exceeds the width by 10 ft.

Question 936648: A woman bought 65 lb. of fertilizer to spread over her rectangular backyard. if she spread it at a rate of 20 lb. to 1000 ft. and the length of the yard exceeds the width by 10 ft., what were the dimensions of the yard?
This is a word problem in a certain chapter in our book which deals all about Quadratic Equations. I hope you could help me out. Thanks.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A woman bought 65 lb. of fertilizer to spread over her rectangular backyard. if she spread it at a rate of 20 lb. to 1000 ft. and the length of the yard exceeds the width by 10 ft., what were the dimensions of the yard?
-------
width = w ft
length = w+10 ft
-----
Area = w(w+10) = w^2 + 10w sq. ft.
--------------------------
Assuming that the 65 lb of fertilizer covers her yard,
area of yard = 65/(20 lb/1000 ft) = (65/20)*1000 = 3250 sq yds
-------------
Equation:
w^2 + 10w - 3250 = 0
w = 175.35 ft(width)
w+10 = 185.35 ft (length)
==============
Cheers,
Stan H.
---------------
RELATED QUESTIONS
Hai sir, please help me on this problem Namita has a garden in front of her house. The (answered by Earlsdon)

can anyone help with this problem. fertilizer is to be spread at a rate of 2 (answered by TimothyLamb)

Keith bought 30 lb of nuts at $3.00/lb and 20 lb of nuts at $5.00/lb. If he wanted to buy (answered by CubeyThePenguin)

A lawn-care technician wants to spread a 200-lb seed mixture that is 50% bluegrass. If... (answered by Edwin McCravy)

How many pounds of walnuts at $0.84/lb should be mixed with 20 lb of pecans at $1.20/lb... (answered by josgarithmetic)

A grocer wants to mix peanuts and cashews to produce 20 lb bag of mixed nuts worth... (answered by checkley71)

A grocer wants to mix peanuts and cashews to produce 20 lb of mixed nuts worth $6.20/lb.... (answered by tutorcecilia)

A farmer uses two types of fertilizers. A 50-lb bag of Fertilizer A contains 8 lb of... (answered by Theo)

A farmer uses two types of fertilizers. A 50-lb bag of Fertilizer A contains 8 lb of... (answered by ikleyn)