Question

Ezra’s dad is building a cover for his sandbox. The sandbox is in the shape of a kite as shown.

A kite has a width of 6 feet and a height of 4 feet.’

What is the area of the sandbox cover?
6 square feet
12 square feet
18 square feet
24 square feet

Answer 1

To find the area of a kite, you can use the formula:

\[
\text{Area} = \frac{1}{2} \times d_1 \times d_2
\]

where \(d_1\) and \(d_2\) are the lengths of the diagonals.

For the kite in this case:
- The width of the kite represents the length of one diagonal (\(d_1\)), which is 6 feet.
- The height of the kite represents the length of the other diagonal (\(d_2\)), which is 4 feet.

Now, substitute the values into the formula:

\[
\text{Area} = \frac{1}{2} \times 6 \times 4
\]
\[
\text{Area} = \frac{1}{2} \times 24
\]
\[
\text{Area} = 12 \text{ square feet}
\]

Thus, the area of the sandbox cover is **12 square feet**.