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anonymous
 5 years ago
What are the dimensions of a rectangle of 12*10 inches, if resized to 1/8th the area (15 square inches) and scaled proportionally?
anonymous
 5 years ago
What are the dimensions of a rectangle of 12*10 inches, if resized to 1/8th the area (15 square inches) and scaled proportionally?

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0the area is 120. if we scale that to 1/8 we get: 120/8 = 60/4 = 30/2 = 15 1,15; 3,5 are the factors of 15. Id take a gander and say 3 and 5; but that s just a guess really....

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0A 3 x 5 would proportionally be a 6 x 10

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0blex, area is proportional, not side length. for example: 2*4 = 8 lets scale the side by 3 6*12 = 72 but the area is not 8(3) = 24...not 72

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0What about when you have two similar triangles? You take the corresponding sides and make them proportional to the other sides... don't you?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0if you want to scale "sides" then yes; but if you want to scale "area" then no.... because area does not scale in the same manner as sides. but I think I see a point you are making... if we want the sides to stay proportional as well, then then we should not restrict our answers to "intergers" alone....

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0That's what I am thinking...

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0then we might want to setup a few equation to help keep things "in order ":)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0My real question is what, let what be x, times itself multiplied by 1.2, will yield 15. So 3*5 does equal 15, but 5 is not 1.2(3). Solve for x if x(1.2x)=15. That's my question.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.012(x) * 10(x) = 15 would that be a good equation?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0this would factor each side proportionally and get us an area of 15... i think

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0120x^2 = 15 x^2 = 15/120 = 5/40 = 1/8 x^2 = 1/8 x = sqrt(1/8)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The area of the original rectangle is given as 12*10, i.e 12 is the length and 10 is the width. So, the smaller rectangle should also have the length and width proportional to 12:10 and area 15 sq.inches

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.012*sqrt(8)/8 = side "a" 10*sqrt(8)/8 = side "b"

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0x*1.2x = 15or x^2 = 15/1.2 or x = sqrt(15/1.2)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i.e length = 4.24 and width = 3.53

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.04.2426406871192851464050661726291 and 3.5355339059327376220042218105242 so its the same either way ;)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I think the dimensions of the rectangle would be [sqrt{18}] * 5/[sqrt{2}]. Just divide both  length and breadth by [sqrt{8}]. Here sqrt means a squareroot

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0wpg; that is correct.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I know. It was not any complicated. I've joined openstudy.com just now.. Looks great place.
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