Answer:
The perimeter of the spiral notebook is 14 inches
Step-by-step explanation:
The given parameters are;
The area of the rectangular binder cover, Aₓ = 80 in²
The area of the rectangular binder cover = 8 × The area of the spiral notebook, Aₙ
The length, l of the spiral notebook = 5 inches
Let w represent the width of the spiral notebook cover;
We have;
Aₙ = l × w = 5 × w
Aₓ = 80 = 8 × Aₙ
8 × Aₙ = 80
∴ 8 × 5 × w = 80
w = 80/(8 × 5) = 80/40 = 2
w - 2 inches
The perimeter, P, of a rectangle = 2 × length, l + 2 × width, w
∴ For the spiral notebook, we have, [tex]P_{Spiral \ notebook}[/tex] = 2 × 5 + 2 × 2 = 14
The perimeter of the spiral notebook, [tex]P_{Spiral \ notebook}[/tex] = 14 inches.
