1.19 - Intermediate Algebra

Question

The length of a rectangle is 7 less than the width. Let w represent the width of the rectangle. Write an expression
for the length of the rectangle.

Step-by-Step Solution

Answer

$w-7$

Using concept:

The phrase "b less than a" is being used to execute a subtraction operation, while the word "$a-b$" is used to accomplish a subtraction operation.

Write an expression for the length of the rectangle.

The expression "the length of a rectangle is 7 less than the width" means "the length of a rectangle is 7 less than the width."
Since previously said, the important word is a difference, hence the two terms will be subtracted.
As W denotes the rectangle's width.
As just a result, w is substituted for the width.
As a result, the expression "7 less than w" can be recast as "$w-7$".