Question

A rectangle has an area of 6x + 6 cm2 and a length of 6 cm. What is the width of the rectangle? Enter your answer in the box. cm​

Answer 1

it is ...... x+1

Step-by-step explanation:

I did it your welcome

Answer 2

`\displaystyle \boxed{W=x+1}`

Explanation:

Area of a rectangle

A rectangle of length L and width W has an area of:

A = L*W

If the area and one of the dimensions are given, we can calculate the other dimension by solving the resulting equation.

The area of the given rectangle is 6x+6 square centimeters, and its length is 6 cm, thus we can establish the equation:

`6W=6x+6`

Solving for W:

`\displaystyle W=(6x+6)/(6)`

The numerator 6x+6 can be factored as 6(x+1). Replacing in the equation:

`\displaystyle W=(6(x+1))/(6)`

Simplifying, the width of the rectangle in cm is:

`\displaystyle \boxed{W=x+1}`