Question

What is the area of a triangle with a base of 8in and a height of 4in?(1 point) Responses 32 sq. in. 32 sq. in. 12 sq. in. 12 sq. in. 16 sq. in. 16 sq. in. 24 sq. in. 24 sq. in. Question 2 What is the area of a rectangle with a length of 10m and a width of 5 meters?(1 point) Responses 15 sq. m. 15 sq. m. 25 sq. m. 25 sq. m. 50 sq. m. 50 sq. m. 105 sq. m.

Answer 1

To find the area of the triangle and the rectangle, we can use the following formulas:

**Area of a triangle**:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]

For the given triangle:
- Base = 8 in
- Height = 4 in

Calculating the area:
\[
\text{Area} = \frac{1}{2} \times 8 \, \text{in} \times 4 \, \text{in} = \frac{1}{2} \times 32 \, \text{sq. in} = 16 \, \text{sq. in}
\]

So, the area of the triangle is **16 sq. in.**.

---

**Area of a rectangle**:
\[
\text{Area} = \text{length} \times \text{width}
\]

For the given rectangle:
- Length = 10 m
- Width = 5 m

Calculating the area:
\[
\text{Area} = 10 \, \text{m} \times 5 \, \text{m} = 50 \, \text{sq. m}
\]

So, the area of the rectangle is **50 sq. m.**.

### Responses:
1. Triangle area: **16 sq. in.**
2. Rectangle area: **50 sq. m.**