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

Answer:

option (D on edgen

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

The perimeter of the rectangle will be : $2\times(\ length+width)$

The perimeter will be : $2 \times(2x+3x+3)$

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 $2 \times 14=28$ and

$3 \times 14+3=45$

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

Hope it will help :)