× Didn't find what you were looking for? Ask a question
Top Posters
Since Sunday
5
a
5
k
5
c
5
B
5
l
5
C
4
s
4
a
4
t
4
i
4
r
4
This topic contains 1 attachment.
Home Q & A Board Science-Related Homework Help Mathematics
New Topic  
92star 92star
wrote...
Posts: 1
Rep: 0 0
11 years ago
Please explain/show process in detail using the system of equations for the below word problem:

A flat rectangular piece of aluminun has a perimeter of 60 inches. The length is 14 inches longer than the width. Find the width.
Read 405 times
1 Reply

Related Topics

Replies
wrote...
#1
Valued Member
On Hiatus
11 years ago
we will symbolize the length as x and the width as y. See the picture at the attachments.

As you see, the perimeter is 2x+2y, so 60=2x+2y.

Because length is 14 inches longer than width, x value is higher by 14 than y. That means x=y+14.

We need to solve the system:
60=2x+2y
x=y+14

It's easy. We take the first equation (60=2x+2y) and we replace x with y+14:
60=2x+2y <=> 60=2(y+14)+2y <=> 60=2y+28+2y <=> 32=4y <=> y=8 so the width is 8 inches.

And, as we said earlier, x=y+14 so x=22 so the length is 22 inches.
 Attached file 
Thumbnail(s):
You must login or register to gain access to this attachment.
New Topic      
Quick Reply
Explore
Post your homework questions and get free online help from our incredible volunteers
  1260 People Browsing
Start New Topic Take the Tour CoursesNew Study Tools Topics Trending Browse by Textbook
Live Chat
Related Images
  
 60
  
 252
  
 6388
Your Opinion
Which industry do you think artificial intelligence (AI) will impact the most?
Votes: 352
Previous poll results: How often do you eat-out per week?