Question Video: Describing the Relationship between the Dimensions of a Rectangle If Its Dimensions Are Given as Algebraic Expressions Mathematics • First Year of Preparatory School

Video Transcript

If the length of a rectangle is nine plus 𝑥 and its width is 𝑥, describe the relationship that exists between them.

So we know the length is equal to nine plus 𝑥 and the width is equal to 𝑥. We can replace 𝑥 with 𝑤 and create one equation in terms of the length and the width.

So now we have 𝑙 equals nine plus 𝑤, because we replaced 𝑥 with 𝑤. This means that the length is nine more than the width. The length stands for 𝑙, the equals sign is is, and then nine plus 𝑤 would represent nine more than the width. So the relationship that exists between 𝑙 and 𝑤 would be the length is nine more than the width.