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anonymous
 one year ago
Help please.... =*(
If square ABCD has area 25, and the shape of the longer shaded square is 9 times the area of the smaller shaded square, what is the length of one side of the smaller shaded square?
anonymous
 one year ago
Help please.... =*( If square ABCD has area 25, and the shape of the longer shaded square is 9 times the area of the smaller shaded square, what is the length of one side of the smaller shaded square?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1441124255042:dw

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0we can write this: \[\Large {A_2} = 9{A_1} \Rightarrow L_2^2 = 9L_1^2 \Rightarrow {L_2} = 3{L_1}\] dw:1441124497875:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can u make this a bit easier ?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0furthermore, we have: \[\Large AB = {L_2} + {L_1} = 3{L_1} + {L_1} = 4{L_1}\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0finally, from your data, we have: \[\Large 5 = AB = 4{L_1}\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0please solve this equation for L1: \[\Large 5 = 4{L_1}\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0with A2 and A1 I meant the area of the largest shaded square and the area of the smallest shaded square respectively

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wow..... i really dont understand your explanation.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1441125356826:dw

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0from the text of your problem I read: "the shape of the longer shaded square is 9 times the area of the smaller shaded square" that statement is modeled by this equation: \[\Large {A_2} = 9{A_1}\] where with A2 and A1 are the area of the largest shaded square and the area of the smallest shaded square respectively

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0please refer to my drawings above

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.0now, we can write this: \[\Large {A_2} = L_2^2\] and: \[\Large {A_1} = L_1^2\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0nevermind u make things too complicated

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1lol this looks confusing but it can't be too bad can it?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yea it's confusing... I've made no progress..

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1the area of the big square is 25 right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yea so the length of one side is 5

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1ok so the only thing i don't get is what "long shaded square" means is that the big square ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the bigger square inside the square yes

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i thought it would be dw:1441127490171:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so dw:1441127538111:dw

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1hold on is that the equation you derived?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No i got that from the problem it says the longer shaded is 9 times the area of the smaller shaded

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1cause it aint what i get

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1dw:1441127697875:dw

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1we know two things one is that \(x+y=5\) because the length is 5 the other is that \(x^2=9y^2\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0y is it 9y instead of 9x? i thought they said the longer shaded is 9 times the area of the smaller shaded?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1oh yeah you are right\[9x^2=y^2\]

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1since \(x+y=5\) we know \(y=5x\)

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1so the equation to solve is \[9x^2=(5x)^2\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ohhhhhhhhhhhhhhhhhhhhhhhh you just made me understand with the 9x^2 = y^2

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1ok good! multiply out, put on one side of the equal sign, get \[8 x^2+10 x25 = 0\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1441127982300:dw