anonymous
  • anonymous
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)
Algebra
schrodinger
  • schrodinger
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

anonymous
  • anonymous
So far I have: \[A = L*W\] and that'll be \[280 = (l -5) (w + 1)\].
campbell_st
  • campbell_st
so 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
  • campbell_st
the quadratic equation can be factored.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

campbell_st
  • campbell_st
or use the general quadratic formula to get the solutions
anonymous
  • anonymous
Thank you! I found that the width is 14. Am I correct?
campbell_st
  • campbell_st
that's correct...
anonymous
  • anonymous
Thank you again! :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.