Question

a rectangle has a length that is 2 units longer than the width, w. the width is increased by 6 units, and the length is increased by 3 units. place the expression to complete the equation representing a, the new area of the rectangle, in square units.
a = ( )(w + 6)

Explanation:

Step1: Find the original length

The original length is \(w + 2\) (since length is 2 units longer than width \(w\)).

Step2: Find the new length

The new length is \((w + 2)+3\).
Simplify the expression: \((w + 2)+3=w+(2 + 3)=w + 5\).

Answer:

\(w + 5\)