Question 2738: Area of a Half-Open Rectangle with Nonnegative Dimensions

Original question and givens

Use one equal-unit orthonormal Euclidean Cartesian frame. The half-open rectangle [0,12)×[0,3) has width 12 and height 3, both nonnegative. Find its area in squared length units.

• G001 — Use one equal-unit orthonormal Euclidean Cartesian frame. The half-open rectangle [0,12)×[0,3) has width 12 and height 3, both nonnegative. Find its area in squared length units.

Definition and scope

Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate.

• mko-area

Step-by-step derivation

orthonormal equal-length coordinate units;half-open regions

area in squared length units

rectangle area := mul(12, 3)

rectangle area = 36

w=12; h=3

area=36; empty=No

Reverse checks

• S003 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S002 · premise_and_result_audit — Recompute rectangle area with exact rational arithmetic, not rounded decimals.
• S001 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.

Result

36

The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.

This question review and source binding

Review date: 2026-10-26

Original questions, answers, step expressions, numeric ASTs and historical records are retained. Source candidate labels remain historical and are not overwritten as formal proof.