Posted by **brianna** on Sunday, December 14, 2008 at 5:36pm.

Mr. Fairchild wants to add a playroom and a bedroom to his house. The 2rooms will be proportional, but hte bedroom's dimensions will be only 1/3 as large as the playroom.

If the playroom of the bedrooom is 50 ft. then the perimeterof the playroom will be what?

i think i have to do p= 2w+2l, then put 20=2*l+2W, but how do i get the legth and width if the shape is a rectangle

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**bobpursley**, Sunday, December 14, 2008 at 5:39pm
If the dimensions are 1/3 the original, then the perimeter of the bedroom will be 1/3 the perimeter of the playroom.

Not asked, but the area of the smaller room will be 1/9 the area of the larger room.

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**brianna**, Sunday, December 14, 2008 at 6:03pm
thank you bobpursley

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**Damon**, Sunday, December 14, 2008 at 5:41pm
You have a typo up there.

If the playroom of the bedroom ???

If you mean the perimeter of the bedroom is 50 feet.

then the perimeter of the playroom will be 50*3 = 150 feet

Unlike volume or area, linear dimensions scale all with the scale ratio which is 3 here.

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**brianna**, Sunday, December 14, 2008 at 5:44pm
im sorry for the typo, i meant to type the perimeter of the bedroom

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**Damon**, Sunday, December 14, 2008 at 5:44pm
Now for example if the bedroom were 15 feet long and 10 feet wide

P = 30 + 20 = 50 feet

then

playroom = 45 long and 30 wide

P = 90 + 60 = 150 feet

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**brianna**, Sunday, December 14, 2008 at 5:48pm
oh. i feel really dumb now. sorry for the typo i have another question just like that one, but instead, it has different sizes. so i just mult. the perimeter and three. that seems pretty simple. thank you.

again.

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**Damon**, Sunday, December 14, 2008 at 5:53pm
If all the dimensions are three times, then the perimeter is three times.

Watch out if they ask for the area though. That would be 9 times as Bob Pursley said. 3^2 = 9

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**brianna**, Sunday, December 14, 2008 at 6:01pm
oh, so if its area, then you have to square the #, just like Bob Pursley said 3^2=9

but if its perimeter, i have to multiply the perimeter by, say the dimensions are 5. then i'd have to multiply the perimeter by 5. i think i get it.

THANk YOU.

(again)

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