Long Side of rectangle: 3x+3Short side: 2xThe perimeter of the rectangle is 146 units. What is the length of the longer side?

Hello!The answer is:The length of the longer side of the rectangle is equal to 45 units.Why?To solve the problem, we need to use the formula to calculate the perimeter of a rectangle, then, isolate the variable and finally, calculate the length of the longer side.We can calculate the perimeter of a rectangle using the following equation:[tex]Perimeter=2Length+2Width\\[/tex]Let be the length the longer side and the width the short side of the rectangle.Then, substituting the given information and calculating we have:[tex]146=2*(3x+3)+2*2x\\146=6x+6+4x\\146-6=10x\\140=10x\\\\x=\frac{140}{10}=14[/tex]Now, calculating the long side of the rectangle, we have:[tex]LongSide=3*14+3=45units[/tex]Hence, we have that the length of the longer side of the rectangle is equal to 45 units.Have a nice day!