Question

A rectangle is shown. All angles are right angles. The length of one side is 2 x and the length of another side is 3 x + 3. The perimeter of the rectangle is 146 units. What is the length of the longer side? 14 units 28 units 33 units 45 units

Answer 1

option (D on edgen

Explanation:

Answer 2

Explanation:

Alright, lets get started.

Please refer the diagram I have attached.

The perimeter of the rectangle will be :
`2*(\ length+width)`

The perimeter will be :
`2 *(2x+3x+3)`

The perimeter will be :
`10x+6`

As per given question, the perimeter is given as 146 unit.

So,

`10x+6=146`

Subtracting 6 on both sides

`10x=140`

`x=14`

Plugging the value x in sides, the sides will be
`2 * 14=28` and

`3 * 14+3=45`

Hence the length of the longer side is 45 units. : Answer

Hope it will help :)