SOLUTION: Could you please help me with this problem? I have a hard time figuring out how to set up word problems... The perimeter of a picture frame is 11 feet. If three times the heig

Question 171692: Could you please help me with this problem? I have a hard time figuring out how to set up word problems...
The perimeter of a picture frame is 11 feet. If three times the height is equal to eight times the width, what are the dimensions of the frame?
Thank you so much for your help...
Found 2 solutions by jim_thompson5910, josmiceli:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let x=width and y=height

"The perimeter of a picture frame is 11 feet" translates to . Note: remember, the perimeter formula is where L and W are the length and width

"three times the height is equal to eight times the width" translates to

Start with the second equation

Divide both sides by 3 to isolate y

Go back to the first equation

Plug in

Multiply

Multiply EVERY term by the LCD 3 to clear the fraction.

Multiply and simplify

Combine like terms.

Divide both sides by 22 to isolate "x"

Reduce

So the first answer is (which in decimal form is )

Go back to the isolated equation

Plug in

Multiply 8 and to get

Reduce

So the second answer is

========================================================

Answer:

So the answers are (which in decimal form is ) and

This means that the width is 1.5 feet and the height is 4 feet.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
All that's needed is the formula for perimeter
Let = perimeter
Let = height
Let = width
To find the perimeter, you start at a certain point
on the closed figure and go all the way around
returning to your starting point

Given:
ft

-----------------

Multiply both sides by

ft

ft
The frame is 4 ft high anf 1.5 ft wide
check:

OK
RELATED QUESTIONS
Hello, I have a hard time figuring out how to set word problems into number problems. I... (answered by ankor@dixie-net.com)
Could you please help me with this problem? I have a hard time figuring out how to set... (answered by josmiceli)
Word problems give me a very hard time. Figuring out how to set up the problem is my... (answered by scott8148,Leaf W.)
Ratio and Proportion 1. A lawyer bills her clients $200 per hour of service. If a... (answered by stanbon)
Hello, I'm having a difficult time figuring out this word problem. It states (ONE number... (answered by ikleyn)
Hi, I am having trouble figuring out the correct equation to form from the following word (answered by lwsshak3)
Could someone please help me try and figure this problem out. I have such a hard time... (answered by checkley75)
I have a hard time with fractions and word problem. for example how can I set up this... (answered by Shin123,josgarithmetic)
I have asked this question within the past two days without a response. I am having a... (answered by Earlsdon,checkley71)