The figure below shows two similar pictures that Jeremy wants to frame:

Jeremy has 5 strips of unfinished molding that he wants to use to frame the two pictures. Each strip is 36 inches long.

Assuming there is no wastage or overlap of molding, what is the minimum length of molding, in inches, Jeremy still requires to frame both the pictures? Show your work and explain your reasoning in complete sentences.

Question

The figure below shows two similar pictures that Jeremy wants to frame:

Jeremy has 5 strips of unfinished molding that he wants to use to frame the two pictures. Each strip is 36 inches long.

Assuming there is no wastage or overlap of molding, what is the minimum length of molding, in inches, Jeremy still requires to frame both the pictures? Show your work and explain your reasoning in complete sentences.

znappydooz · Answer

attachment

znappydooz · Answer

@Secret-Ninja, can you help me?

znappydooz · Answer

Lol I jus need a little help on what to write :P

kamibug · Answer

A frame goes around the perimeter! :) So to find the min. amount of frame needed, just find the two perimeters and add them together. 
You're not given the length of the first rectangle?

znappydooz · Answer

What you see right now is what they gave me in the question...
Though, I'm not so sure how to do that :/

kamibug · Answer

Then we just need to assume they are proportional. :)
That means 13/58.5 = 16/x where x represents the length of the first rectangle. 
So we'll cross multiply and that gives us...
13x = (58.5)(16)
Can you solve that for x?

znappydooz · Answer

Does that equal to x = 840/13?

kamibug · Answer

x = 936/13 because 58.5*16=936 :)

znappydooz · Answer

Lol alright, I think I'm following... I'm still not so sure what to write tho XD

kamibug · Answer

Alright, so just finish solving for x. What's 936/13? :)

znappydooz · Answer

That evaluates to 72

znappydooz · Answer

Alright wait a moment, so how should I start writing the answer?
Its an short essay question... and I'm not sure how to start it :P

kamibug · Answer

Yup! So that's the length of the first triangle! Now we can find the perimeters. :) 
2(72) + 2(58.5) = a 
2(13) + 2(16) = b 
a + b = c 
"c" should be your answer.

znappydooz · Answer

Wait a minute... let me solve this...
I'm slow XD

znappydooz · Answer

Alright, a = 261?

kamibug · Answer

Right!

znappydooz · Answer

Does b = 58?

znappydooz · Answer

Then 261 + 58 = 319

kamibug · Answer

Yep!

kamibug · Answer

You've got it :) So 319 inches is needed, at a minimum, to frame both pictures.

znappydooz · Answer

So.... 319 is the minimum length of molding Jeremy needs?

znappydooz · Answer

OMG thank you soo much!!!!
Ur the best!!!!!!

kamibug · Answer

No problem! :D If the question asks you for how many strips he needs, noting that each strip is 36 inches long, just divide 319 by 36 then round to the nearest whole number. ^_^

znappydooz · Answer

Alright thnx so muxh!!! :D
Have a wonderful dayyyy :D

kamibug · Answer

Thanks, you too!!!