Question

What is the area of the composite figure? 9 in. 12 in. 24 in 20 in 12 in 15 in 30 in. O 1,182 square inches O 1,236 square inches O 978 square inches O 924 square inches

Answer 1

Given data:

The given figure is shown.

The area of the given figure is,

`\begin{gathered} A=(24\text{ in)}(30\text{ in)+}(1)/(2)(24\text{ in)(9 in)+}(1)/(2)(15\text{ in)}(20\text{ in)} \\ =720\text{ sq-inches+108 sq-inches+150 sq-inches} \\ =978\text{ sq-inches} \end{gathered}`

Thus, the area of the composite figure is 978 sq-inches.