Calculate the Area of a Deltoid: Given Height 5 and Base 22

Given the deltoid ABCD

Find the area

To solve the problem of finding the area of the deltoid $ABCD$, we will use the area formula for a kite. The formula is:

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

Given:

• $d_1 = 22$ cm (one diagonal of the deltoid)
• $d_2 = 5$ cm (the other diagonal of the deltoid)

Substitute the given values into the formula:

$\text{Area} = \frac{1}{2} \times 22 \times 5$

$\text{Area} = \frac{1}{2} \times 110$

$\text{Area} = 55 \text{ cm}^2$

Therefore, the area of the deltoid $ABCD$ is $\boxed{55}$ square centimeters.