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 2 years ago
Please help a desperate freshman. :(
Quadrilateral ABCD is a rhombus with an area of 600 square inches and diagonal AC = 30. What is the perimeter of quadrilateral ABCD?
 2 years ago
Please help a desperate freshman. :( Quadrilateral ABCD is a rhombus with an area of 600 square inches and diagonal AC = 30. What is the perimeter of quadrilateral ABCD?

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AccessDenied
 2 years ago
Best ResponseYou've already chosen the best response.2I would start with a picture: dw:1338082969408:dw

AccessDenied
 2 years ago
Best ResponseYou've already chosen the best response.2Now, I think we can find the other diagonal's length using the formula for the area of this rhombus. Do you know the equation for it?

xRAWRRx3
 2 years ago
Best ResponseYou've already chosen the best response.0i found out that its area = diagonal 1 times diagonal 2 over 2 so i got the other diagonal equals 40. what do i do after that?

AccessDenied
 2 years ago
Best ResponseYou've already chosen the best response.2We can use some right triangle magic since rhombuses have the cool property that their diagonals intersect at right angles and also bisect each other. :) dw:1338083233182:dw So, if we take half of each diagonal, we get a right triangle with legs of those values and a hypotenuse of the side of the rhombus. All we have to do is find that hypotenuse, and the rest should be pretty easy  adding all four equal sides of the rhombus together.

xRAWRRx3
 2 years ago
Best ResponseYou've already chosen the best response.0OMG, THANK YOU :) THAT REALLY HELPED A LOT X)

RaphaelFilgueiras
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1338083360007:dw

AccessDenied
 2 years ago
Best ResponseYou've already chosen the best response.2You're welcome! :D Geometry problems really like to do these sorts of things, spotting right triangles in different situations. :P

xRAWRRx3
 2 years ago
Best ResponseYou've already chosen the best response.0I was just confused because I didn't know what the formula to the area of a rhombus was x_x but after that, I was just over thinking things LOL so thank you :)
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