what is the area of the biggest square? *

16 square unit
6 square unit
5 square unit
20 square unit

Question

what is the area of the biggest square? *

16 square unit
6 square unit
5 square unit
20 square unit

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Pythagorean Theorem", "Right Triangles", "Area of Squares on Right Triangle Sides" ], "new_concepts": [], "current_concepts": [ "Pythagorean Theorem", "Right Triangles", "Area of Squares on Right Triangle Sides" ] } ## Determine the areas of the smaller squares $$ \begin{aligned} &\text{Side length of square } a^2 = 2 \text{ units} \implies a^2 = 2^2 = 4 \text{ square units}\ &\text{Side length of square } b^2 = 4 \text{ units} \implies b^2 = 4^2 = 16 \text{ square units} \end{aligned} $$ ## Calculate the area of the biggest square $$ c^2 = a^2 + b^2 = 4 + 16 = 20 \text{ square units} $$

16 square unit

6 square unit

5 square unit

20 square unit

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Pythagorean Theorem" ] }

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QUESTION IMAGE

Question

Explanation:

Determine the areas of the smaller squares

Calculate the area of the biggest square

Answer: