Question

The length of a rectangle is 3 inches. Enter an expression for the area of the rectangle if the width is w inches. Find the area of the rectangle when the width is 1, 2 , 3, and 26 inches

Answer 1

An expression for the area of the rectangle if the width is w inches is

`A =` 3w

when the width is 1 inch, Area = 3 square inches (in²)

when the width is 2 inches, Area = 6 square inches (in²)

when the width is 3 inches, Area = 9 square inches (in²)

when the width is 26 inches, Area = 78 square inches (in²)

Explanation:

The area of a rectangle is given by

`A = l` ×
`w`

Where
`A` is the area of the rectangle

`l` is the length of the rectangle

and
`w` is the width of the rectangle

From the question,

length,
`l` = 3 inches

width,
`w` = w inches

Hence, An expression for the area of the rectangle is

`A =` 3 × w

`A =` 3w

Now, to find the area of the rectangle when the width is 1, 2 , 3, and 26 inches

1. when the width is 1 inch (That is
`w` = 1 inch)

Then,
`A =` 3w

`A =` 3 × 1

`A =` 3 square inches (in²)

2. when the width is 2 inches (That is
`w` = 2 inches)

Then,
`A =` 3w

`A =` 3 × 2

`A =` 6 square inches (in²)

3. when the width is 3 inches (That is
`w` = 3 inches)

Then,
`A =` 3w

`A =` 3 × 3

`A =` 9 square inches (in²)

4. when the width is 26 inches (That is
`w` = 26 inches)

Then,
`A =` 3w

`A =` 3 × 26

`A =` 78 square inches (in²)