rectangle abcd is congruent to rectangle urst.

what is the area of rectangle urst?

- 24 mm
- 48 mm
- 135 mm^2
- 144 mm^2

figure may not be drawn to scale

Question

rectangle abcd is congruent to rectangle urst.

what is the area of rectangle urst?

- 24 mm
- 48 mm
- 135 mm^2
- 144 mm^2

figure may not be drawn to scale

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Triangle Congruence", "Corresponding Parts" ], "new_concepts": [ "Area of Rectangles", "Congruent Polygons" ], "current_concepts": [ "Triangle Congruence", "Corresponding Parts", "Area of Rectangles", "Congruent Polygons" ] } ## Identify corresponding side lengths of congruent rectangles $$ \begin{aligned} &\text{Rectangle } ABCD \cong \text{Rectangle } URST \ &AB = 9\text{ mm} \implies UR = 9\text{ mm} \ &RS = 15\text{ mm} \end{aligned} $$ ## Calculate the area of rectangle URST $$ \begin{aligned} &\text{Area} = \text{length} \times \text{width} \ &\text{Area} = RS \times UR \ &\text{Area} = 15\text{ mm} \times 9\text{ mm} = 135\text{ mm}^2 \end{aligned} $$

(A) 24 mm

(B) 48 mm

(C) 135 mm²

(D) 144 mm²

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Area of Rectangles" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify corresponding side lengths of congruent rectangles

Calculate the area of rectangle URST

Answer: