4 points) 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 . Skip to navigation

1 answer

To determine the area of the sandbox, we can use the formula for area \( A = \frac{1}{2}bh \). In this case, it seems that you used \( A = 12bh \), but typically the formula for the area of a right triangle (if that's what you're calculating) is associated with a factor of \( \frac{1}{2} \), which could also lead to different interpretations depending on the context.

Assuming we're going with that structure and you want to find the area using \( b = 2.4 \) and \( h = 3.5 \), the substitution would look like this:

  1. Substitute the values into the formula: \[ A = \frac{1}{2} \times (2.4) \times (3.5) \]

  2. Now calculate the multiplication part: \[ A = \frac{1}{2} \times 2.4 \times 3.5 \] First, compute \( 2.4 \times 3.5 \): \[ 2.4 \times 3.5 = 8.4 \]

  3. Then apply \( \frac{1}{2} \): \[ A = \frac{1}{2} \times 8.4 = 4.2 \]

Therefore, the area of the sandbox is \( 4.2 , m^2 \).

In summary, the complete statements with substitutions and calculations are:

  • Formula: \( A = \frac{1}{2}bh \)
  • Substitute: \( A = \frac{1}{2} \times (2.4) \times (3.5) \)
  • Area of the sandbox: \( 4.2 , m^2 \).