DEFG is a rectangle. DF = 5x - 3and EG = x + 5. Find the value of x and the length of each diagonal.

A. x = 2, DF = 7, EG = 7
B. x = 2, DF = 7, EG = 12
C. x = 1, DF = 6, EG = 6
D. x = 2, DF = 6, EG = 6

Question

DEFG is a rectangle. DF = 5x - 3and EG = x + 5. Find the value of x and the length of each diagonal.

A. x = 2, DF = 7, EG = 7
B. x = 2, DF = 7, EG = 12
C. x = 1, DF = 6, EG = 6
D. x = 2, DF = 6, EG = 6

jim_thompson5910 · Answer

In any rectangle, the diagonals are congruent (ie equal in length)

So,

DF = EG

5x-3 = x+5

x = ???

anonymous · Answer

...... No clue.

jim_thompson5910 · Answer

5x-3 = x+5

5x-3-x = 5

5x-x = 5+3

I'll let you finish up

anonymous · Answer

Yeah, I don't know.

jim_thompson5910 · Answer

5x-x = 5+3

4x = 8

x = ???

anonymous · Answer

x=2?

jim_thompson5910 · Answer

correct

jim_thompson5910 · Answer

now use this to find the length of the diagonals