Answer:
Equation : 6x + 8 = 26
x = 3
Explanation:
The given shape is a rectangle.
Here ( x + 1 ) cm and ( 2x + 3 ) cm are the sides,
where,
Length ( l ) = 2x + 3
Breadth ( b ) = x + 1
Perimeter is the sum of all sides.
Formula : -
Perimeter of a rectangle = 2 ( l + b )
Perimeter of a rectangle
= 2 ( 2x + 3 + x + 1 )
= 2 ( 2x + x + 3 + 1 )
= 2 ( 3x + 4 )
= 2 ( 3x ) + 2 ( 4 )
= 6x + 8
The given value of the perimeter is 26 cm.
So the equation is,
6x + 8 = 26
The value of x can be found by solving this equation.
6x + 8 = 26
Subtract 8 on both sides,
6x = 26 - 8
6x = 18
Divide 6 on both sides,
x = 18 / 6
x = 3
Hence the value of x is 3.