Question

Evaluate the formula for the area of a triangle to solve the problem.

The area of a sandbox = one-half base times height. The height is 2.4 meters and the base is 3.5 meters.

Lokota wants to build a sandbox for his little brother. Determine the amount of sand he needs by finding the area of the sandbox. Use the drop-down menus to complete the statements.

First, write the
.

Next, use parentheses when you substitute
for b and
for h.

Now, simplify by
1
2
, 2.4, and 3.5.

The area of the sandbox is
m².

Answer 1

To evaluate the area of the sandbox using the formula for the area of a triangle, let's go through the steps you provided.

1. **First, write the formula**: The formula for the area \( A \) of a triangle is:

\[
A = \frac{1}{2} \times b \times h
\]

2. **Next, use parentheses when you substitute**: Substitute the given values for the base \( b = 3.5 \) meters and height \( h = 2.4 \) meters into the formula:

\[
A = \frac{1}{2} \times (3.5) \times (2.4)
\]

3. **Now, simplify by \( \frac{1}{2} \), 2.4, and 3.5**: Calculate the area step-by-step:

First, calculate \( 3.5 \times 2.4 \):

\[
3.5 \times 2.4 = 8.4
\]

Then, calculate \( \frac{1}{2} \times 8.4 \):

\[
A = \frac{8.4}{2} = 4.2
\]

4. **The area of the sandbox is**: Therefore, the area of the sandbox is

\[
4.2 \text{ m}^2.
\]

So, to summarize your statements:

- First, write the **formula for the area of a triangle**.
- Next, use parentheses when you substitute **3.5 for b and 2.4 for h**.
- Now, simplify by **1/2, 2.4, and 3.5**.
- The area of the sandbox is **4.2 m²**.