Question

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 formula, A=12bh
.

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

Now, simplify by
12, 2.4, and 3.5
.

The area of the sandbox is
m2
.

Answer 1

To determine the amount of sand Lokota needs for the sandbox, we will use the formula for the area of a rectangle, typically given as \( A = b \times h \), but you mentioned a formula \( A = 12bh \), which might indicate that there is a scaling factor involved.

Here are the steps to complete the statements:

1. Write the formula: \( A = 12bh \).

2. Substitute the known values for \( b \) and \( h \):
\[
A = 12(2.4)(3.5)
\]

3. Now, simplify the equation:
\[
A = 12 \times 2.4 \times 3.5
\]

- First, calculate \( 12 \times 2.4 = 28.8 \).
- Then, multiply \( 28.8 \times 3.5 = 100.8 \).

So, the area of the sandbox is:
\[
A = 100.8 \, m^2
\]

Thus, the complete statement would look like this:

- First, write the formula: \( A = 12bh \).
- Next, use parentheses when you substitute \( 2.4 \) for \( b \) and \( 3.5 \) for \( h \).
- Now, simplify by \( 12, 2.4, \) and \( 3.5 \).
- The area of the sandbox is \( 100.8 \, m^2 \).