determine (a) the area and (b) the perimeter of the quadrilateral.

a. the area of the quadrilateral is 15
(type a whole number.)

b. the perimeter of the quadrilateral is
(type a whole number.)

Question

determine (a) the area and (b) the perimeter of the quadrilateral.

a. the area of the quadrilateral is 15
(type a whole number.)

b. the perimeter of the quadrilateral is
(type a whole number.)

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Area of Rectangle", "Perimeter of Rectangle" ], "new_concepts": [], "current_concepts": [ "Area of Rectangle", "Perimeter of Rectangle" ] } ## Identify the quadrilateral properties The given quadrilateral has four right angles, which makes it a rectangle. The dimensions are: $$ \begin{aligned} \text{length } (l) &= 5\text{ ft} \ \text{width } (w) &= 3\text{ ft} \end{aligned} $$ ## Calculate the area $$ \begin{aligned} \text{Area} &= l \times w \ &= 5 \times 3 \ &= 15\text{ sq ft} \end{aligned} $$ ## Calculate the perimeter $$ \begin{aligned} \text{Perimeter} &= 2(l + w) \ &= 2(5 + 3) \ &= 2(8) \ &= 16\text{ ft} \end{aligned} $$ ## Question 1 The area of the quadrilateral is 15 sq ft. ## Question 2 The perimeter of the quadrilateral is 16 ft. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Area of Rectangle" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the quadrilateral properties

Calculate the area

Calculate the perimeter

Answer:

Question 1

Question 2