2 multiple choice 1 point
find the area of the triangle with the measurements given below.
base = 8 in
height = 12 in
10 in²
20 in²
48 in²
96 in²

3 multiple choice 1 point
find the area of the triangle with the measurements given below.
base = 24 in
height = 16 in
384 in²
80 in²
40 in²
192 in²

4 fill in the blank 1 point
find the missing side of the rectangle and round to the nearest tenth if needed.
length = 35 cm
width = ?
perimeter = 768 cm
type your answer...

Question

2 multiple choice 1 point
find the area of the triangle with the measurements given below.
base = 8 in
height = 12 in
10 in²
20 in²
48 in²
96 in²

3 multiple choice 1 point
find the area of the triangle with the measurements given below.
base = 24 in
height = 16 in
384 in²
80 in²
40 in²
192 in²

4 fill in the blank 1 point
find the missing side of the rectangle and round to the nearest tenth if needed.
length = 35 cm
width = ?
perimeter = 768 cm
type your answer...

Accepted Answer

{ "quality": "clear", "question_count": 3, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Arithmetic Simplification" ], "new_concepts": [ "Area of a Triangle", "Perimeter of a Rectangle" ], "current_concepts": [ "Area of a Triangle", "Perimeter of a Rectangle", "Arithmetic Simplification" ] } ## Calculate the area of the triangle for Question 2 $$ \begin{aligned} A &= \frac{1}{2} \times \text{base} \times \text{height} \ A &= \frac{1}{2} \times 8\text{ in} \times 12\text{ in} \ A &= 48\text{ in}^2 \end{aligned} $$ ## Calculate the area of the triangle for Question 3 $$ \begin{aligned} A &= \frac{1}{2} \times \text{base} \times \text{height} \ A &= \frac{1}{2} \times 24\text{ in} \times 16\text{ in} \ A &= 12 \times 16 \ A &= 192\text{ in}^2 \end{aligned} $$ ## Solve for the missing width of the rectangle in Question 4 $$ \begin{aligned} P &= 2 \times (\text{Length} + \text{Width}) \ 768 &= 2 \times (35 + W) \ 384 &= 35 + W \ W &= 349\text{ cm} \end{aligned} $$ ## Question 2 (A) $10\text{ in}^2$

(B) $20\text{ in}^2$

(C) $48\text{ in}^2$

(D) $96\text{ in}^2$ ## Question 3 (A) $384\text{ in}^2$

(B) $80\text{ in}^2$

(C) $40\text{ in}^2$

(D) $192\text{ in}^2$ ## Question 4 Find the missing side of the rectangle and round to the nearest tenth if needed. Length = 35 cm Width = 349 cm Perimeter = 768 cm { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Geometry", "Area and Perimeter" ] }

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QUESTION IMAGE

Question

Explanation:

Calculate the area of the triangle for Question 2

Calculate the area of the triangle for Question 3

Solve for the missing width of the rectangle in Question 4

Answer:

Question 2

Question 3

Question 4