STUV is a rectangle with a width of 7 and a length of 24. One diagonal is 11x + 9y and the other diagonal is 3x + 7y. Find the values of x and y.

Question

anonymous · Answer

Ok so do u know that in rectangle all 4 angles are 90 and that diagonal square is the sum of width square and length square?

anonymous · Answer

If it's a rectangle, then you know that both diagonals are of equal length, so you have an equality:

11x+9y = 3x+7y

So put all the Xs on one side and the Ys on the other

anonymous · Answer

You do this by subtracting 7y from both sides and then subtracting 11x from both sides.

anonymous · Answer

thank you that help

anonymous · Answer

No problem!

Did you get your answers okay?