Or

# Help please! Figure ABCD is a rectangle. Find the value of x.

Viewed 421953 times
1
Help please! Figure ABCD is a rectangle. Find the
value of x.

2

Hello! As the figure is a rectangle, AE ≅ EC.

AE = x + 11

EC = 6x + 1

Set the two equal to each other:

x + 11 = 6x + 1

Subtract x from both sides:

11 = 5x + 1

Subtract 1 from both sides:

10 = 5x

Divide both sides by 5:

10/5 = 5x/5

x = 2. 15.5k 3 10 26
2

### ⠀⠀⠀⠀⠀⠀☆☞Diagram☜☆

⠀⠀⠀⠀ ⠀⠀⠀⠀

______________________________

⠀⠀⠀⠀

⠀⠀⠀⠀

• The value of x is 2

⠀⠀⠀⠀

━━━━━━━━━━━━━━━━━

⠀⠀⠀⠀

⠀⠀⠀⠀

### ➤ How to solve ?

⠀⠀⠀⠀

For solving such problems we need to recall some rules and properties of quadrilateral .

Above given figure is a figure of an rectangle . We know that the diagonals of an rectangle bisect each other

⠀⠀⠀⠀

Bisect is refer to dividing the line into 2 equal parts .

⠀⠀⠀⠀

From this property of the rectangle ; we can observe in the given rectangle that

⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀AE = EC

⠀⠀⠀⠀

━━━━━━━━━━━━━━━━━

⠀⠀⠀⠀

### Solution :

⠀⠀⠀⠀

As , AE = EC

⠀⠀⠀⠀

➠ x + 11 = 6x + 1

⠀⠀⠀⠀

➠ x - 6x = 1 - 11

⠀⠀⠀⠀

➠ -5x = - 10

⠀⠀⠀⠀

➠ 5x = 10

⠀⠀⠀⠀

➠ x = 10/5

⠀⠀⠀⠀

➠ x = 2

⠀⠀⠀⠀

∴ The value of x is 2 .

━━━━━━━━━━━━━━━━━ 15.5k 3 10 26