Respuesta :
Answer:
An expression for the area of the rectangle if the width is w inches is
[tex]A =[/tex] 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
[tex]A = l[/tex] × [tex]w[/tex]
Where [tex]A[/tex] is the area of the rectangle
[tex]l[/tex] is the length of the rectangle
and [tex]w[/tex] is the width of the rectangle
From the question,
length, [tex]l[/tex] = 3 inches
width, [tex]w[/tex] = w inches
Hence, An expression for the area of the rectangle is
[tex]A =[/tex] 3 × w
[tex]A =[/tex] 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 [tex]w[/tex] = 1 inch)
Then, [tex]A =[/tex] 3w
[tex]A =[/tex] 3 × 1
[tex]A =[/tex] 3 square inches (in²)
2. when the width is 2 inches (That is [tex]w[/tex] = 2 inches)
Then, [tex]A =[/tex] 3w
[tex]A =[/tex] 3 × 2
[tex]A =[/tex] 6 square inches (in²)
3. when the width is 3 inches (That is [tex]w[/tex] = 3 inches)
Then, [tex]A =[/tex] 3w
[tex]A =[/tex] 3 × 3
[tex]A =[/tex] 9 square inches (in²)
4. when the width is 26 inches (That is [tex]w[/tex] = 26 inches)
Then, [tex]A =[/tex] 3w
[tex]A =[/tex] 3 × 26
[tex]A =[/tex] 78 square inches (in²)
