SOLUTION: The length of a picture frame is 3 in. greater than the width. The perimiter is less than 52in. Describe the dimentions of the frame.

Question 218757: The length of a picture frame is 3 in. greater than the width. The perimiter is less than 52in. Describe the dimentions of the frame.

Found 2 solutions by drj, MathTherapy:
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
The length of a picture frame is 3 in. greater than the width. The perimeter is less than 52in. Describe the dimensions of the frame.

Step 1. Let w be the width.

Step 2. Let w+3 be the length.

Step 3. Perimeter P means adding up all four sides of the triangle. That is,

Step 4. Solving yields the following steps

Subtract 6 to both sides of the equation

Divide 4 to both sides of the equation

{{4w/4=46/4}}}

and which is a true statement

Step 5. ANSWER: The width is in. and length is in.

I hope the above steps and explanation were helpful.

For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry please visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.

Respectfully,
Dr J

http://www.FreedomUniversity.TV

Answer by MathTherapy(10549) (Show Source): You can put this solution on YOUR website!
The length of a picture frame is 3 in. greater than the width. The perimiter is less than 52in. Describe the dimentions of the frame.

Let the width of the frame be W

Since its length is 3 inches greater than its width, then its length = W + 3

Since the perimeter is less than 52 inches, then we'll have:

2(W) + 2(W + 3) < 52

2W + 4W + 6 < 52

6W + 6 < 52

6W < 46

W < or <, or <

Since width < 11.5 inches, and length is 3 more then width, then length < (11.5 + 3), or <

--------
Check
--------
Since width, or W < 11.5, and since length, or L < 14.5, then let width, or W = 11, and length, or L = 14

2W + 2L < Perimeter

2(11) + 2(14) < 52

22 + 28 < 52

50 < 52 (TRUE)
RELATED QUESTIONS
the length of a picture frame is 3in grater then the width. the perimiter is less then... (answered by jorel1380)
the length of a picture frame is 3 inches greater than the width. The perimeter is less... (answered by checkley77)
Solve by writing an inequality. The length of a picture frame is 3 in. greater than the... (answered by checkley71)
The diagonal of a picture frame is 13 inches. If the length of the frame is 7 inches... (answered by Cromlix)
A picture frame has a perimeter of 100 cm. Its width is 4 cm less than twice its length.... (answered by thejackal)
the perimiter of a tennis court is 210 feet and the length is 3 feet less then three... (answered by TutorDelphia)
The length of a picture frame is 2 inches greater than its width. If the area of the... (answered by rwm)
the lenght of a picture frame is 3 in. greater than the width. the perimeter is less than (answered by not_da_brightest_bulb,longjonsilver)
A picture�s length is 6in less than twice its width. A uniform frame of 2in surrounds... (answered by ankor@dixie-net.com)