Question

DEFG is a rectangle. DF = 5x – 5 and EG = x + 11. Find the value of x and the length of each diagonal.

Answer 1

The length of the diagonal is 
1) 4
2) DF = 15
3) EG= 15

Answer 2

Answer:

Part a) $x=4$

Part b) $DF=EG=15\ units$

Step-by-step explanation:

Step 1

Find the value of x

we know that

In a rectangle the length side of the two diagonals is the same

so

In this problem

$DF=EG$

substitute the values

$5x-5=x+11$

solve for x

$5x-x=11+5$

$4x=16$

$x=4$

Step 2

Find the length of the diagonal

$DF=EG=5x-5=5(4)-5=15\ units$