Question

he formula for finding the perimeter of a rectangle is P=2×l+2×w.

For which of the following quadrilaterals could you not use this formula to find its perimeter?(1 point)
Responses

parallelogram

parallelogram

rhombus

rhombus

square

square

trapezoid

Answer 1

The formula \( P = 2 \times l + 2 \times w \) for the perimeter of a rectangle specifically applies to rectangles and quadrilaterals that have opposite sides equal in length and are not necessarily right angles.

Among the options provided:

- For a **parallelogram**, opposite sides are equal, so the formula can still be used (where \( l \) and \( w \) would represent the lengths of the sides).
- For a **rhombus**, which is a special type of parallelogram, all four sides are equal; thus, the perimeter can be calculated using the same formula or simplified to \( P = 4s \) where \( s \) is the length of one side.
- For a **square**, which is a specific type of rectangle (and also a rhombus), you can use the formula since all sides are the same.
- For a **trapezoid**, however, the sides are not equal, and thus, the perimeter cannot be calculated simply by the formula provided. The formula would not hold because it assumes equal opposite sides.

So, the answer is **trapezoid**.