A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
The area of a rectangular piece of land is 260 square meters. If the length of the land was 5 meters less and the width was 2 meters 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.
anonymous
 one year ago
The area of a rectangular piece of land is 260 square meters. If the length of the land was 5 meters less and the width was 2 meters 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.

This Question is Closed

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1w × l = 260 l + 5 = w + 2

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1do you get the first equation i posted ?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1ok, and the second equation is the second sentence. What the sentence is saying is that if: 1) length was 5 more (i.e. l+5) 2) width was 2 more (i.e. w+2) then the shape would have been a square. You know that in a square length and with are equal. And when length is l+5 and width is w+2, then it is a square. THEREFORE l+5=w+2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so to find w or y the equation would be y=x+2+5 or y=x+7

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0opps other way round.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1w × l = 260 l + 5 = w + 2 all you need to do is to solve this system. l + 5 = w + 2 → l=w3 so substitute w × (w3) = 260 w²  3w = 260

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1solve for w (it will be a square root)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1w²3w260=0 (3)±√[94(1)(260)]  2(1) 3±√[1049]  2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait but shouldn't it be w + 2 = y  5 ?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1oh, tnx... my error

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1w × l = 260 l  5 = w + 2 then, w × l = 260 l = w + 7

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1w × (w + 7) = 260

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the equation for w is w = l  7 ?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1well, 7 or +7, just depending on how you define l and w, and which way you sub. but yes, there is an extra 7 between one dimension and the other dimension.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1w × l = 260 l  5 = w + 2 then, w × l = 260 l = w + 7 then, w × (w+7) = 260 then, w² + 7w = 260 then, w² + 7w  260 = 0 (w + 20) (w  13) = 0

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1now, you nave to find l

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1l  5 = w + 2 l  5 = 13 + 2 l = 20 right !!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thanks so much again!
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.