A community for students.
Here's the question you clicked on:
 0 viewing
YanaSidlinskiy
 one year ago
The floor of a shed has an area of 99 square feet. The floor is in the shape of a rectangle whose length is 7 feet less than twice the width. Find the length and the width of the floor of the shed. Use the formula, area=length*width
YanaSidlinskiy
 one year ago
The floor of a shed has an area of 99 square feet. The floor is in the shape of a rectangle whose length is 7 feet less than twice the width. Find the length and the width of the floor of the shed. Use the formula, area=length*width

This Question is Closed

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.3length is 7 feet less than twice the width = 72x? Something like that...

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2width = w twice the width: 2w 7 ft less than twice the width: 2w  7

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2A = LW = w(2w  7) = 99

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.3WAIT! I want to solve it lol. I need to understand it on my own on how to do it haha. Wait, why would it matter if I put it the way you showed me?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2There is a difference in the way you write it. Let me explain. Let's say Mary is 16 years old and Jane is 18 years old. You can say Mary's age is 2 years less than Jane's age. If that means 18  2, then Mary is 16 years old which is correct. If mistakenly you think that means 2  18 = 16, then Mary is 16 year old which is meaningless.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2"7 less than 2w" is 2w  7 "7 less" means subtract 7, take away 7, from 2w 7  2w is "2w less than 7"

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.3Gotcha! Ok, makes sense. Lemme solve this real quick. Sorry if it'll take a while..

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2No problem. Take your time.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2w(2w  7) = 99 2w^2  7w  99 = 0

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.3That's what I had in the first place..

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2\(\large x = \dfrac{b \pm \sqrt {b^2  4ac}}{2a} \) \(\large w = \dfrac{7 \pm \sqrt {(7)^2  4(2)(99)}}{2(2)} \) \(\large w = \dfrac{7 \pm \sqrt {49 + 792}}{4} \) \(\large w = \dfrac{7 \pm \sqrt {841}}{4} \) \(\large w = \dfrac{7 \pm 29}{4} \) \(\large w = \dfrac{36}{4} \) or \(w = \dfrac{22}{4}\) \(\large w = 9\) or \(\large w = 5.5\)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Since a width cannot be negative, we discard w = 5.5. The width is 9 ft. The length is 2w  7 = 2(9)  7 = 18  7 = 11 ft

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.3It's the minor stuff that kills me lol.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2You need to work carefully. I went through the same, making stupid mistakes. Do your work and check it.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2When you find an answer, check the answer. We get W = 9 ft and L = 11 ft Let's see if it makes sense. The area has to be 99 ft^2 A = LW = 11 ft * 9 ft = 99 ft^2 The length has to be 7 less than twice the width. L = 2w  7 = 2(9)  7 = 18  7 = 11 ft Yes, L = 11 ft and W = 9 ft make sense.

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.3Gotcha! Ok, makes sense!

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.3Thanks for the detailed explanations. I appreciate it!

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2You are very welcome.
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.