Question

find the area of the rhombus.

Explanation:

Step1: Find the lengths of the diagonals

The diagonals of the rhombus are \(d_1=(8 + 8)\text{ ft}=16\text{ ft}\) and \(d_2=(15 + 15)\text{ ft}=30\text{ ft}\).

Step2: Use the formula for the area of a rhombus

The formula for the area of a rhombus is \(A=\frac{1}{2}d_1d_2\).
Substitute \(d_1 = 16\) and \(d_2=30\) into the formula:
\(A=\frac{1}{2}\times16\times30\)
First, calculate \(\frac{1}{2}\times16 = 8\).
Then, \(8\times30=240\).

Answer:

\(240\)