Question

Loretta has a patio in the shapea trapezoid. The floor of the patio is shown in the sketch below.12 feet5 feetWood PlanksBrick15 feetLoretta wants to put trim around the edge of the floor of the patio that is wood planks that does notshare an edge with the brick part. How many feet of trim will she need?

Answer 1

We can calculate the width of the rectangle patio with pythagorean theorem:

$\begin{gathered} \text{Base of triangle=15-12=3} \\ c^2=a^2+b^2 \\ 5^2=3^2+b^2 \\ b=\sqrt[]{25-9} \\ b=\sqrt[]{16} \\ b=4 \end{gathered}$

Then, she need to put trim on the edge of the floow of the patio that is wood planks and DOES NOT share and edge with the brick part:

$\begin{gathered} T=12+4+12 \\ T=28\text{ feet} \end{gathered}$

Loretta need to put 28 feet of trim.