Video Transcript
Fill in the blank: The area of the
rectangle with dimensions two 𝑥 and 𝑥 plus 𝑦 is blank.
If we consider a rectangle, since
the dimensions are two 𝑥 and 𝑥 plus 𝑦, we can let one side be equal to two 𝑥 and
the other 𝑥 plus 𝑦. Then we need to think about how we
find the area of a rectangle. The area of a rectangle is length
times width. If we plug in two 𝑥 for the length
and 𝑥 plus 𝑦 for the width, to find the area, we’ll need to distribute this two 𝑥
over both the term 𝑥 and 𝑦. Two 𝑥 times 𝑥 equals two 𝑥
squared. And two 𝑥 times 𝑦 equals two
𝑥𝑦, which makes the area of this rectangle two 𝑥 squared plus two 𝑥𝑦.
