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Video: Describing the Relationship between the Dimensions of a Rectangle If Its Dimensions Are Given as Algebraic Expressions

Bethani Gasparine

If the length of a rectangle is 9+x, and its width is x, describe the relationship that exists between them.

00:51

Video Transcript

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

So we know the length is equal to nine plus π‘₯ and the width is equal to π‘₯. We can replace π‘₯ with 𝑀 and create one equation in terms of the length and the width.

So now we have 𝑙 equals nine plus 𝑀, because we replaced π‘₯ with 𝑀. 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 𝑀 would represent nine more than the width. So the relationship that exists between 𝑙 and 𝑀 would be the length is nine more than the width.