SOLUTION: how do you find the length of a diagonal of a rectangle if all you have is an equation: 7x-2 for one diagonal and 4x+3 for the other diagonal?

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Question 700674: how do you find the length of a diagonal of a rectangle if all you have is an equation: 7x-2 for one diagonal and 4x+3 for the other diagonal?

Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
: how do you find the length of a diagonal of a rectangle if all you have is an equation: 7x-2 for one diagonal and 4x+3 for the other diagonal?
:
We know that the two diagonals in rectangle are equal, therefore
7x - 2 = 4x + 3
Solve for x
7x - 4x = 3 + 2
3x = 5
x = 5/3
:
Find the length of the diagonal by replacing x with 5/3 in 7x - 2
d = 7(5/3) - 2
d = (35/3) - 2
d = 11 - 2
d = 9 is the length of the diagonal
:
Check this by doing the same in 4x + 3
d = 4(5/3) + 3
d = (20/3} + 3
d = 6 + 3
d = 9