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yKpoI14uk [10]
3 years ago
11

Find the value x in the figure :​

Mathematics
2 answers:
Mumz [18]3 years ago
6 0
<h3>Answer:</h3>

x = 3

<h3>step-by-step explanation:</h3>

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
Leno4ka [110]3 years ago
5 0

Answer:

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

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