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.

Question

First, write the formula, A=12bh .
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

Let's go through the steps to determine the area of the sandbox.

1. The formula for the area of the sandbox is \( A = \frac{1}{2}bh \).

2. Substitute the values for \( b \) and \( h \) using parentheses: \( A = \frac{1}{2}(2.4)(3.5) \).

3. Now, simplify this expression:

   • First, calculate \( 2.4 \times 3.5 \): \[ 2.4 \times 3.5 = 8.4 \]
   • Then multiply by \( \frac{1}{2} \): \[ A = \frac{1}{2} \times 8.4 = 4.2 \]

The area of the sandbox is \( 4.2 , \text{m}^2 \).

So, to summarize the complete statements:

• The formula is \( A = \frac{1}{2}bh \).
• Substitute for \( b \) and \( h \): \( A = \frac{1}{2}(2.4)(3.5) \).
• Simplify by \( \frac{1}{2}, 2.4, \text{ and } 3.5 \).
• The area of the sandbox is \( 4.2 , \text{m}^2 \).