SOLUTION: A factory is to be built on a lot that measures 80m by 60m. A lawn of uniform width, equal to the area of the factory, must surround it. How wide is the strip of the lawn and what

Algebra.Com
Question 909913: A factory is to be built on a lot that measures 80m by 60m. A lawn of uniform width, equal to the area of the factory, must surround it. How wide is the strip of the lawn and what are the dimensions of the factory? (Maybe something to do with using the quadratic formula or factoring?)
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
80*60=4800 m^2
(80+x)*(60+x)=9600
x^2+140x+4800 = 9600
x^2+140x-4800 = 0
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=38800 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 28.488578017961, -168.488578017961. Here's your graph:

x=28.489
(80+28.489)*(60+28.489)=9600
(108.489)*(88.489)=9600
108.489*88.489=9600.083121


RELATED QUESTIONS

Please help me solve this word problem!!!! A factory is to be built on a lot that... (answered by ankor@dixie-net.com)
A factory is to be built on a lot that measures 80m by 60m. A lawn of uniform width and... (answered by josgarithmetic)
Please help me solve this word problem! A factory is to be built on a lot that... (answered by ankor@dixie-net.com)
A factory is built on a lot that measures 80m by 60m. A lawn of uniform width will... (answered by josgarithmetic)
A factory is to be built on a lot measuring 150 ft by 200 ft. A local building code... (answered by josgarithmetic)
a building is to be built on a lot that is 80m by 60m. A lawn of uniform width and equal... (answered by josgarithmetic)
A factory is to be built on a lot measuring 270 ft by 360 ft. A local building code... (answered by josgarithmetic,ikleyn,greenestamps,MathTherapy)
A factory is to be built on a lot measuring 200 ft by 210 ft. A local building code... (answered by ankor@dixie-net.com)
A factory is to be built on a lot measuring 270 ft by 360 ft. A local building code... (answered by solver91311)