Formulas for Perimeter and Area of 2D Shapes.

Here are the formulas for the perimeter and area of common 2D shapes, which you can use for your pasta paper cutouts:

Step 1: Formulas for Perimeter and Area of 2D Shapes.

• Square

  • Let $s$ be the length of one side.
  • Perimeter: $P = 4s$
  • Area: $A = s^2$

• Rectangle

  • Let $l$ be the length and $w$ be the width.
  • Perimeter: $P = 2(l + w)$
  • Area: $A = l \times w$

• Triangle

  • Let $a, b, c$ be the lengths of the sides, and $h$ be the height corresponding to base $b$.
  • Perimeter: $P = a + b + c$
  • Area: $A = \frac{1}{2} \times b \times h$

• Circle

  • Let $r$ be the radius.
  • Circumference (Perimeter): $C = 2\pi r$
  • Area: $A = \pi r^2$

• Parallelogram

  • Let $b$ be the base, $a$ be the adjacent side, and $h$ be the height.
  • Perimeter: $P = 2(a + b)$
  • Area: $A = b \times h$

• Trapezoid

  • Let $a$ and $b$ be the lengths of the parallel sides, $c$ and $d$ be the lengths of the non-parallel sides, and $h$ be the height.
  • Perimeter: $P = a + b + c + d$
  • Area: $A = \frac{1}{2} \times (a + b) \times h$