Question

Find the area of the rhombus.15 in8 inA = [ ? ] in=

Answer 1

The Solution:

Given the rhombus below:

We are required to find the area of the rhombus.

Recall:

So, applying:

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

Where

$\begin{gathered} d_1=\text{ diagonal 1=15+15=30 in} \\ d_2=\text{d}\imaginaryI\text{agonal 2=8+8=16 }\imaginaryI\text{n} \end{gathered}$

Substituting these values in the formula for area, we get

$Area=\frac{16+30_}{2}=\frac{46}{2}=23\text{ in}^2$

Therefore, the correct answer is 23 square in.