Question

problems 1–6 have an area
8 in.
4 in.
12 in.
7 in.
3 in.
4 in.
5 in.
only the problems you circled
areas greater than

Explanation:

Let's solve the area of each triangle (assuming the circled problems are 8, 10, 12; we'll calculate each):

Problem 8 (Right Triangle)

Step1: Recall triangle area formula

The area of a triangle is $A = \frac{1}{2} \times base \times height$. For a right triangle, the two legs are base and height. Here, base = 4 in, height = 5 in.

Step2: Substitute values into formula

$A = \frac{1}{2} \times 4 \times 5$
$A = 2 \times 5$
$A = 10$ square inches.

Problem 10 (Triangle with base 7 in, height 3 in)

Step1: Use triangle area formula

$A = \frac{1}{2} \times base \times height$. Base = 7 in, height = 3 in.

Step2: Substitute and calculate

$A = \frac{1}{2} \times 7 \times 3$
$A = \frac{21}{2}$
$A = 10.5$ square inches.

Problem 12 (Triangle with base 8 in, height 4 in)

Step1: Apply triangle area formula

$A = \frac{1}{2} \times base \times height$. Base = 8 in, height = 4 in.

Step2: Compute the area

$A = \frac{1}{2} \times 8 \times 4$
$A = 4 \times 4$
$A = 16$ square inches.

If we assume we need to find which has a greater area (e.g., comparing these), but since the original question's exact task (like "find the area of the circled problems" or "compare areas") isn't fully clear, but based on the diagrams, here are the areas:

• Problem 8: $\boldsymbol{10}$ in²
• Problem 10: $\boldsymbol{10.5}$ in²
• Problem 12: $\boldsymbol{16}$ in²

(If the task was to find the area of a specific circled one, say Problem 8: 10 in², Problem 10: 10.5 in², Problem 12: 16 in². Adjust based on the actual circled problem, but the above are the calculations for each.)

Answer:

Step1: Apply triangle area formula

$A = \frac{1}{2} \times base \times height$. Base = 8 in, height = 4 in.

Step2: Compute the area

$A = \frac{1}{2} \times 8 \times 4$
$A = 4 \times 4$
$A = 16$ square inches.

If we assume we need to find which has a greater area (e.g., comparing these), but since the original question's exact task (like "find the area of the circled problems" or "compare areas") isn't fully clear, but based on the diagrams, here are the areas:

• Problem 8: $\boldsymbol{10}$ in²
• Problem 10: $\boldsymbol{10.5}$ in²
• Problem 12: $\boldsymbol{16}$ in²

(If the task was to find the area of a specific circled one, say Problem 8: 10 in², Problem 10: 10.5 in², Problem 12: 16 in². Adjust based on the actual circled problem, but the above are the calculations for each.)