Question

what is the area of the kite given? kite diagram with 8 m, 8 m, 28 m labels options: 125 m², 224 m², 104 m², 280 m²

Explanation:

Step1: Recall the area formula for a kite

The area formula for a kite is \( A=\frac{1}{2}d_1d_2 \), where \( d_1 \) and \( d_2 \) are the lengths of the diagonals.

Step2: Identify the lengths of the diagonals

From the figure, one diagonal \( d_1=(8 + 8)=16\space m \) and the other diagonal \( d_2 = 28\space m \).

Step3: Substitute the values into the formula

Substitute \( d_1 = 16\) and \( d_2=28\) into \( A=\frac{1}{2}d_1d_2 \).

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Answer:

\(224\space m^{2}\)