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anonymous
 one year ago
I've been stuck on this question for an hour now. Can you please help me do it and understand it?
The area of a rectangular piece of land is 280 square meters. If the length of the land was 5 meters less and the width was 1 meter more, the shape of the land would be a square.
Part A: Write an equation to find the width (x) of the land. Show the steps of your work. (5 points)
Part B: What is the width of the land in meters? Show the steps of your work. (5 points)
anonymous
 one year ago
I've been stuck on this question for an hour now. Can you please help me do it and understand it? The area of a rectangular piece of land is 280 square meters. If the length of the land was 5 meters less and the width was 1 meter more, the shape of the land would be a square. Part A: Write an equation to find the width (x) of the land. Show the steps of your work. (5 points) Part B: What is the width of the land in meters? Show the steps of your work. (5 points)

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So far I have: \[A = L*W\] and that'll be \[280 = (l 5) (w + 1)\].

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.2so in part A 280 = l*w so l= 280/w then using the new dimensions you have posted and making a substitution l  5 = w + 1 since the sides of the square are equal make the substitution \[\frac{280}{w}  5 = w + 1\] multiply every term by w \[280  5w = w^2 + w\] or \[w^2 + 6w  280 = 0\] just solve the quadratic for w. you will have 2 answers, just use the positive... as a measurement can't be negative hope it helps

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.2the quadratic equation can be factored.

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.2or use the general quadratic formula to get the solutions

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you! I found that the width is 14. Am I correct?
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