Question

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

Answer 1

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:

$Perimeter=2Length+2Width$

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:

$146=2*(3x+3)+2*2x\\146=6x+6+4x\\146-6=10x\\140=10x\\\\x=\frac{140}{10}=14$

Now, calculating the long side of the rectangle, we have:

$LongSide=3*14+3=45units$

Hence, we have that the length of the longer side of the rectangle is equal to 45 units.

Have a nice day!