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

Answer:

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)

Step-by-step 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)