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anonymous
 one year ago
MEDAL AND FAN
Can someone work through this with me and explain it please?
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.
Part B: What is the width of the land in meters? Show the steps of your work.
anonymous
 one year ago
MEDAL AND FAN Can someone work through this with me and explain it please? 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. Part B: What is the width of the land in meters? Show the steps of your work.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay you would first have to set up 2 equations the equation for the area of a rectangle and an equation to set the length and width equal to each other given the variables. So your two equations would be \[l*w=280\] and \[l5=w+1 \] *we know this because the sides of a square are equal so we would have to set the width and length equal to each other under the given conditions.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and then we solve by substitution, so you have to isolate the variable. Since you are finding the width first let us isolate the length so we can use it to find the width

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So the equation \[l * w =280\] becomes \[l=280/w\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but wouldn't I need to have another number in place of the w to get the length??

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no because , then we plug this into the other equation \[l5=w+1\] and this becomes \[(280/w)5 = w +1 \] Do I need to keep going?or do you have any more questions?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would the (280 / w)  5 = w + 1 be my equation for part A because this just does not make sense to me...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well you keep going and solve for w for the width. Here's a solution I found for you

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0since it cant be 20 the answer should be 14 meters for part A

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay, that makes more sense. Thank you!!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No problem, hope that helped :D do you still need help for part B are are you good?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Part B would be 14 right? Because Part A just asks for the equation..

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh ya sorry just read that. Yup your good :D
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