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Mathematics 14 Online
OpenStudy (decentnabeel):

Help me !

OpenStudy (anonymous):

yes

OpenStudy (decentnabeel):

OpenStudy (decentnabeel):

@mathmale

OpenStudy (anonymous):

it herd to read

OpenStudy (decentnabeel):

@Mehek14

OpenStudy (decentnabeel):

@ilovebmth1234

OpenStudy (ilovebmth1234):

i would help but youd have to give me a few i need to do some stuff first okay?

OpenStudy (anonymous):

it hard to read

OpenStudy (ilovebmth1234):

Question: Mrs.Golden has two square flower gardens. A side of the larger flower garden is 3 ft more than the side of the smaller garden. The sum of the areas of the two gardens is 269ft squared. Find the length of a side , in ft. of each garden

OpenStudy (decentnabeel):

yes @ilovebmth1234

OpenStudy (ilovebmth1234):

i was restating the question so the other person could read it to in case they wanted to help ill be with you in just a few okay im sorry

OpenStudy (decentnabeel):

ok thanks @ilovebmth1234

OpenStudy (ilovebmth1234):

your welcome

OpenStudy (anonymous):

The equation would be \[x ^{2} + (x+3)^{2} = 269\]Based purely on guessing several values I was able to determine that x = 10 for the length of the small garden, and the length of the large garden is 13 feet. Personally I think it's easier to brute-force questions like these, but if you really want to solve it algebraically, then you would start by FOIL'ing the (x + 3)^2. This gets you x^2 + 6x + 9, and combined with the first x^2 you would get \[2x ^{2} + 6x + 9 = 269\]From here you can try to factor it out as\[2x ^{2} + 6x - 260 = 0\]and you would end up getting 2(x-10)(x+13). Since (x+13) would give a solution of x=-13, it can be tossed out, leaving you with the only other answer, (x-10), as x=10.

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