The image contains two geometric figures with dimensions labeled, likely for area or perimeter calculations…

Question

The image contains two geometric figures with dimensions labeled, likely for area or perimeter calculations. The question is implied to be related to these figures.

ScanSolve AI Tutor · Accepted Answer

Here's how to calculate the area for kites C and D. Remember, the area of a kite is given by 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.

C)

Identify the lengths of the diagonals for kite C.
The horizontal diagonal ( $d_1$ ) is $3 \text{ cm} + 2 \text{ cm} = 5 \text{ cm}$ .
The vertical diagonal ( $d_2$ ) is $3 \text{ cm} + 3 \text{ cm} = 6 \text{ cm}$ .
Substitute the diagonal lengths into the area formula.
$\text{Area}_C = \frac{1}{2} \times 5 \text{ cm} \times 6 \text{ cm}$
Calculate the area.
$\text{Area}_C = \frac{1}{2} \times 30 \text{ cm}^2 = 15 \text{ cm}^2$
The area of kite C is $\boxed{\text{15 cm}^2}$ .

D)
Identify the lengths of the diagonals for kite D.
The horizontal diagonal ( $d_1$ ) is $5 \text{ cm} + 5 \text{ cm} = 10 \text{ cm}$ .
The vertical diagonal ( $d_2$ ) is $8 \text{ cm} + 5 \text{ cm} = 13 \text{ cm}$ .
Substitute the diagonal lengths into the area formula.
$\text{Area}_D = \frac{1}{2} \times 10 \text{ cm} \times 13 \text{ cm}$
Calculate the area.
$\text{Area}_D = \frac{1}{2} \times 130 \text{ cm}^2 = 65 \text{ cm}^2$
The area of kite D is $\boxed{\text{65 cm}^2}$ .

The image contains two geometric figures with dimensions labeled, likely for area or perimeter calculations. The question is implied to be related to these figures.

Step-by-step solution

Identify the lengths of the diagonals for kite C.

Substitute the diagonal lengths into the area formula.

Calculate the area.

Identify the lengths of the diagonals for kite D.

Substitute the diagonal lengths into the area formula.

Calculate the area.

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