Math

Start Subscription

Designers want a border's length to be 5 ft greater than its width. A maximum of 180 ft is to be used. Solve an inequality that has possible widths.

Download PDF PDF Page Citation Cite Share Link Share

Expert Answers

An illustration of the letter 'A' in a speech bubbles
| Certified Educator
Share Link Share Page Citation Cite

We have a rectangle with width x ft., so the length is (x+5 ft.). The perimeter, or length of the border is equal to 2x+2(x+5 ft.) and cannot be longer than 180ft. This can be expressed as:

`2x+2(x+5)<=180`

`2x+2x+10<=180`

`4x+10<=180`

`4x<=180-10`

`x<=170/4`

`x<=42.5 ft.`

Thus the width needs to be...

See
This Answer Now

Start your subscription to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your Subscription

Already a member? Log in here.

We have a rectangle with width x ft., so the length is (x+5 ft.). The perimeter, or length of the border is equal to 2x+2(x+5 ft.) and cannot be longer than 180ft. This can be expressed as:

`2x+2(x+5)<=180`

`2x+2x+10<=180`

`4x+10<=180`

`4x<=180-10`

`x<=170/4`

`x<=42.5 ft.`

Thus the width needs to be less than 42.5 ft.

Approved by eNotes Editorial Team

Related Questions

Browse All

As You Like It

Latest answer posted January 25, 2021 at 6:14:51 PM

What is the role of the Forest of Arden in Shakespeare's As You Like It?

2 Educator answers

As You Like It

Latest answer posted October 27, 2012 at 5:24:23 PM

What does the quote "All the world's a stage, And all the men and women merely players" mean?

47 Educator answers

As You Like It

Latest answer posted November 28, 2018 at 5:19:44 PM

Why in the quote "We as true lovers run into strange capers" does Touchstone say, "run into strange capers"?

2 Educator answers

As You Like It

Latest answer posted June 10, 2011 at 8:21:46 PM

In Act 1, scene 2 of As You Like It, Touchstone talks about mustard and pancakes. What does this mean?

2 Educator answers