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

User Drahakar
by
8.1k points

2 Answers

2 votes
The length of the diagonal is
1) 4
2) DF = 15
3) EG= 15
User Lewis Broadbent
by
8.4k points
2 votes

Answer:

Part a)
x=4

Part b)
DF=EG=15\ units

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

User Batsheva
by
7.8k points