Question

you cut the 2 inch by 4 inch piece of wood along the indicated diagonal. find the perimeter and area of the cross section formed by the cut. the piece of wood is 18 inches wide

Answer 1

$\begin{gathered} h=\sqrt[]{4^2+2^2}=\sqrt[]{20}=2\sqrt[]{5} \\ So\text{ the area is} \\ 18\cdot2\sqrt[]{5}=36\sqrt[]{5} \\ \text{and the perimeter is} \\ 2\cdot18+2\cdot2\sqrt[]{5}=36+4\sqrt[]{5} \end{gathered}$