Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
the formula for the perimeter of a rectangle is $p = 2(l + w)$ and the formula for the area of a rectangle is $a = lw$, where $l$ is the length of the rectangle and $w$ is the width.
determine the perimeter and the area of a 3 inch by 5 inch index card.
the perimeter is 8 inches and the area is 16 square inches.
the perimeter is 15 inches and the area is 8 square inches.
the perimeter is 8 inches and the area is 15 square inches.
the perimeter is 16 inches and the area is 15 square inches.

Explanation:

Step1: Identify length and width

The index card is 3 inch by 5 inch, so \( l = 5 \) inches and \( w = 3 \) inches (or vice versa, since addition and multiplication are commutative).

Step2: Calculate Perimeter

Using the perimeter formula \( P = 2(l + w) \), substitute \( l = 5 \) and \( w = 3 \):
\( P = 2(5 + 3) = 2(8) = 16 \) inches.

Step3: Calculate Area

Using the area formula \( A = lw \), substitute \( l = 5 \) and \( w = 3 \):
\( A = 5 \times 3 = 15 \) square inches.

Answer:

The perimeter is 16 inches and the area is 15 square inches.