Concept
The figure is a rhombus because all its sides are equal and they are all slant.
To find the area of a rhombus using the diagonals a and b, use the formula below.
[tex]\begin{gathered} \text{Area of a r hombus using diagonals = }\frac{\text{a x b}}{2}\text{ from the diagram} \\ a\text{ = }7.5\text{ in} \\ b\text{ = 8 in} \end{gathered}[/tex]
Substitute a = 7.5 in and b = 8in in the formula
[tex]\begin{gathered} \text{Therefore,} \\ \text{Area of the figure = }\frac{7.5\text{ x 8}}{2} \\ =\text{ }\frac{60}{2} \\ =30in^2 \end{gathered}[/tex]
Final answer
Area = 30.0 square inches
