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Write an equation and solve for x using the given information. (see image attached)

Write an equation and solve for x using the given information. (see image attached-example-1
User Dagan
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1 Answer

11 votes
11 votes

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.

User Utsav Chokshi
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