Question

DEFG is a rectangle. Find the value of x and the length of each diagonal if DF = 2x – 1 and EG = x + 3.

Answer 1

Hello ,
DEFG is a rectangle , so :
2x-1 = x+3
2x-x = 3+1
x = 4 .

DF = 2x-1
= 2 * 4 - 1
= 8-1
= 7 .

EG = x+3
= 4 + 3
= 7 .

Answer 2

X=4

Explanation:

This problem bothers on the shape of a rectangle

Step one

From the description of the rectangle

Sides DE is equal to side EG

Note: Kindly see attached photo for your reference

Step two

To solve for x we must equate both sides

2x-1=x+3

Collecting like terms

2x-x=3+1

x=4