Question 1083168: A factory measuring 80 m by 60 m is surrounded by a lawn of uniform width. if the area of the lawn is 57 m2. less than the factory find the width of the lawn
Answer by ikleyn(52765)   (Show Source):
You can put this solution on YOUR website! .
Let x be the uniform width, now unknown.
Then from the condition, you have this quadratic equation
(80+2x)*(60+2x) - 80*60 = 80*60 - 57.
It is the literal translation of the condition to Math.
Simplify and solve this quadratic equation.
Remember that your solution must be positive !
To see more solved samples to this kind of problems, look into the lesson
- Problems on the area and the dimensions of a rectangle surrounded by a strip
in this site.
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lesson is the part of this online textbook under the topic
"Dimensions and the area of rectangles and circles and their elements".
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