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anonymous
 5 years ago
The perimeter of a rectangle is 34 cm. Given that the diagonal is of length 13 cm. Find the dimensions of the rectangle.
anonymous
 5 years ago
The perimeter of a rectangle is 34 cm. Given that the diagonal is of length 13 cm. Find the dimensions of the rectangle.

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I should be able to help you, despite not being a tutor here. You must be in precalculus?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yes I am currently in precalculus.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Sweet, okay. First off, you can split the rectangle up into four triangles, right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Isn't it more like two? So then it becomes 2 right angle triangles where I can then use the Pythagorean Theorem?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I think it's easier to use two diagonal lines, because it makes isosceles triangles

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0No, I think you're right. NVM <_<;;

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You want to use the Pythagoriean theorem. Also, write out the formula for perimeter. 2l + 2a = 34

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The trick is to use a substituion. pick either l or a , and solve for it. In this case, I'll pick L

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.02l = 34  2a (I'm going to reduce this) l = 17  a

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0which simplifies to a+(17a)=13

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yup. I don't think that's the proper way to substitute in this case. Solve for l on a^2+l^2 = 13^2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0In other words, get l, without a square, by itself

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Does that make sense?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Don't worry ^^ I'm here to help

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Okay. First off, let's get L^2 by itself A^2 + L^2 = 13^2 This changes to L^2 = 169  A^2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0If you'll recall, L = 17  a

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So, (17a)^2 = 169  A^2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Do you remember how to foil?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Nope. Remember you have to multiply both the outter and inner terms

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.017 * 17, then 17 * a a * 17, then a * a

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Hmm, I think I need a whiteboard O_O

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0*does some math (I didn't get that far yet)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Hmm, that's not what I got. Let's keep going.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0289  34a  a^2 = 169  L^2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0(17a)(17a)=a^234a+289

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0We drop that into our equation, and then we need to clean up.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Bring all of the terms to one side.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Did I lose you? <_< (Sorry I'm a little slow, I'm tired O_O)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Okay. (I'm trying not to do all the work for you.) Please bring all of the terms to one side of the equation, and post them. (We're close to being done)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0(erm, sorry about the l^2. That's a^2) (I solved for l)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Also, remember that when you square a negative, it becomes positive.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So, it was a^2  34a +120 = a^2 That becomes 2a^2  34a + 120

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You forgot that when you multiply a negative by a negative, it becomes positive. (Back when you foiled)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0It's fine. It's usually a stupid mistake that kills me in math.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The next step is to reduce. Always reduce whenever you can, because it makes it math easier. (I don't know about you, but I'm lazy when it comes to math:P) So, 2a^2  34a + 120 becomes a^2  17a + 120

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0All you need to do is factor, and you'll get your answer. s. It's plural. You can use the perimeter formula thingie to double check your answer.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yeah just too tired... making too many mistakes

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0It's fine! You're pro now! Those answers are correct. ^^ 144 + 25 = 169 If you want to impress (cough) your math teacher, you can write the answer as if a = 5, then l = 12, or if a = 12, then l = 5

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The reason either answer works, is because we don't know which way the rectangle is orientated. Oh, and on a funny note, I tried solving the problem with trig. (I'm in Trig right now. That's the math class after precalc) It completely... Did not work. XD Yeesh, I'm tired too. I made some mistakes.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Anyway, take it easy. God bless with the rest of your homework ^^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Maybe if I'm lucky, someone will help with my problem. XD
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