Question

What is the area of the castle Elliot built from wooden blocks ?.

Answer 1

`\begin{gathered} \text{ The area of a triangle is } \\ A=(1)/(2)b\cdot h, \\ \text{where b is the base lenght, and h is the height.} \\ t\text{hus the area of the triangle is } \\ (1)/(2)4\cdot4=(16)/(2)=8 \end{gathered}`
`\begin{gathered} Thus\text{ the total area is the sum of the areas of the rectangles plus the area of the triangle} \\ A_{\text{total}}=8+(12\cdot4)+(6\cdot(4+5+5))+(5\cdot4) \\ =8+(48)+(6\cdot14)+20 \\ =8+48+84+20 \\ =160 \end{gathered}`

The total Area is then 160 square units.