Question

cecile drew a 4-sided figure. it had 2 sides that were 3.4 centimeters long and 2 sides that were 3.3 centimeters long. it had at least 3 right angles. which best describes the figure she drew?

square
rectangle that is not a square
quadrilateral that is not a parallelogram
trapezoid

Explanation:

Analyze the given properties of the figure

The figure is a 4-sided polygon (quadrilateral) with:

• Two sides of length \(3.4\text{ cm}\)
• Two sides of length \(3.3\text{ cm}\)
• At least 3 right angles (\(90^\circ\))

Determine the shape based on angles

A quadrilateral with at least 3 right angles must have a fourth angle of:

$$ 360^\circ - (90^\circ + 90^\circ + 90^\circ) = 90^\circ $$

Thus, all 4 angles are right angles, which defines a rectangle.

Classify the rectangle

• A square is a rectangle with 4 equal sides.
• Here, the side lengths are not all equal (\(3.4\text{ cm}

eq 3.3\text{ cm}\)).

• Therefore, the figure is a rectangle that is not a square.

Answer:

• square
• rectangle that is not a square (Correct answer)
• quadrilateral that is not a parallelogram
• trapezoid