Question

Find the value x in the figure :​

Answer 1

Answer:

x = 3

step-by-step explanation:

Perimeter of rectangle = 2 ( l + b )

Where, we have

• breadth is ( x + 6 ) cm
• length is ( x + 2 ) cm
• Perimeter is 26 cm.

substitute the values

28 cm = 2 ( ( x + 2) + ( x + 6 ))

• 28 cm = 2 ( x + 2 + x + 6 )

combine like terms

• 28 cm = 2 ( 2 x + 8 )

distributing 2 through parantheses

• 28 cm = 2 × 2x + 2 × 8
• 28 cm = 4x + 16

subtract 16 from both side

• 28 cm - 16 = 4x + 16 - 16
• 12 cm = 4x

divide both side by 4

• 12 cm / 4 = 4 x / 4
• 3 cm = x

Answer 2

Answer:

${ \bf{perimeter = 2(length + width}} \\ \\ { \tt{28 = 2((x + 2) + (x + 6))}} \\ \\ 14 = 2x + 8 \\ 2x = 6 \\ { \tt{x = 3}}$