The length of a rectangle is 7 more than the width the area is 744 square centimeters find length and width of rectangle

Step-by-step explanation:

The formula that is used to calculate the area of a rectangle is:

Where "l" is the lenght and "w" is the width.

You know that the area of that rectangle is:

And, according to the exercise, its lenght is 7 more than its width; then:

Then, you can make the corresponding substitution into the formula :

Simplify:

Factor the equation. Find two numbers whose sum is 7 and whose product is -744. These are 31 and -24.

Then, you get:

The width of the rectangle is the positive value:

Then, the lenght is: