Question

6) What is the area of the figure? Round to thenearest tenth if necessary.Include units in youranswer

Answer 1

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.

`\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}`

Substitute a = 7.5 in and b = 8in in the formula

`\begin{gathered} \text{Therefore,} \\ \text{Area of the figure = }\frac{7.5\text{ x 8}}{2} \\ =\text{ }(60)/(2) \\ =30in^2 \end{gathered}`

Final answer

Area = 30.0 square inches