with polynomials: tutorial
drag each expression to the correct location.

image of a rectangle with width $2x - 3$ and height $x + 7$

perimeter:
area:

options:
$3x + 4$
$2x^2 - 21$
$2x^2 + 11x - 21$
$6x^2 + 4$
$6x + 8$
$13x - 21$

Question

with polynomials: tutorial
drag each expression to the correct location.

image of a rectangle with width $2x - 3$ and height $x + 7$

perimeter:
area:

options:
$3x + 4$
$2x^2 - 21$
$2x^2 + 11x - 21$
$6x^2 + 4$
$6x + 8$
$13x - 21$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Algebraic Modeling", "Geometric Modeling" ], "new_concepts": [], "current_concepts": [ "Algebraic Modeling", "Geometric Modeling", "Polynomial Arithmetic" ] } ## Calculate the perimeter of the rectangle $$ \begin{aligned} P &= 2(\text{length} + \text{width}) \ P &= 2((2x - 3) + (x + 7)) \ P &= 2(3x + 4) \ P &= 6x + 8 \end{aligned} $$ ## Calculate the area of the rectangle $$ \begin{aligned} A &= \text{length} \times \text{width} \ A &= (2x - 3)(x + 7) \ A &= 2x^2 + 14x - 3x - 21 \ A &= 2x^2 + 11x - 21 \end{aligned} $$ Drag each expression to the correct location. Perimeter: $6x + 8$ Area: $2x^2 + 11x - 21$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Arithmetic" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Calculate the perimeter of the rectangle

Calculate the area of the rectangle

Answer: